+publisher:"Universidade Estadual de Campinas" +contributor:("Futorny, Vyacheslav")

Universidade Estadual de Campinas

1. Fidelis, Marcello. Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras.

Degree: 2005, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306378

► Abstract: In this work we study tensor products of T-prime T-ideals over infinite fields. The behaviour of these tensor products over a field of characteristic… (more)

Subjects/Keywords: Polinômios; Anéis (Álgebra); Álgebra não-comutativa; Polynomials; Rings (Algebra); Noncommutative algebra

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APA (6^th Edition):

Fidelis, M. (2005). Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306378

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Fidelis, Marcello. “Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras.” 2005. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306378.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Fidelis, Marcello. “Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras.” 2005. Web. 24 Jan 2021.

Vancouver:

Fidelis M. Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras. [Internet] [Thesis]. Universidade Estadual de Campinas; 2005. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306378.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Fidelis M. Identidades polinomiais em algebras T-primas: Polynomial identities in T-prime algebras. [Thesis]. Universidade Estadual de Campinas; 2005. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306378

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

2. Freitas, Jose Antonio Oliveira de. Identidades polinomiais graduadas e produto tensorial graduado: Graded polynomial identities and graded tensor products.

Degree: 2009, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306368

► Abstract: In this PhD thesis we study graded polynomial identities for certain types of algebras. First, we study polynomial identities satised by the Z2-graded tensor… (more)

▼ Abstract: In this PhD thesis we study graded polynomial identities for certain types of algebras. First, we study polynomial identities satised by the Z2-graded tensor products. This research was motivated by the paper of Regev and Seeman about the Z2-graded tensor products. They proved that in a series of cases such tensor products are PI equivalent to T-prime algebras. Then they conjectured that this is always the case. We deal here with the remaining cases and thus conrm Regev and Seeman's conjecture. Furthermore, we prove that for some algebras we can remove the restriction on the characteristic of the base eld, and we show that the behaviour of the corresponding graded tensor products is quite similar to that for the usual ungraded tensor products. We consider too the graded tensor products and their identities where is a skew symmetric bicharacter. We show that Regev's A B theorem holds for graded tensor products whenever the gradings are by nite abelian groups. Furthermore we study the PI equivalence of -graded tensor products of T-prime algebras. Afterwards we study the graded identities of the Lie algebra W1. We describe a set of generators of the Z-graded identities of W1. The algebra W1 is the algebra of derivation of the polynomial ring K[t], and it is known as the Witt algebra. We prove that if K is a eld of characteristic 0, then the Z-graded identities of W1 are consequences of a collection of polynomials of degree 2 and 3. Furthermore we prove that the Z-graded identities for W1 do not admit a nite basis. Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Kochloukov, Plamen Emilov, 1958- (advisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Jardim, Marcos Benevenuto (committee member), Chestakov, Ivan (committee member), Futorny, Vyacheslav (committee member), Guerreiro, Marines (committee member).

Subjects/Keywords: Produtos tensoriais; Lie, Álgebra de; PI-álgebras; Álgebra não-comutativa; PI-algebras; Tensor products; Lie algebras; Noncommutative algebras

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APA (6^th Edition):

Freitas, J. A. O. d. (2009). Identidades polinomiais graduadas e produto tensorial graduado: Graded polynomial identities and graded tensor products. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306368

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Freitas, Jose Antonio Oliveira de. “Identidades polinomiais graduadas e produto tensorial graduado: Graded polynomial identities and graded tensor products.” 2009. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306368.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Freitas, Jose Antonio Oliveira de. “Identidades polinomiais graduadas e produto tensorial graduado: Graded polynomial identities and graded tensor products.” 2009. Web. 24 Jan 2021.

Vancouver:

Freitas JAOd. Identidades polinomiais graduadas e produto tensorial graduado: Graded polynomial identities and graded tensor products. [Internet] [Thesis]. Universidade Estadual de Campinas; 2009. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306368.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Freitas JAOd. Identidades polinomiais graduadas e produto tensorial graduado: Graded polynomial identities and graded tensor products. [Thesis]. Universidade Estadual de Campinas; 2009. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306368

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

3. Bezerra Junior, Claudemir Fideles, 1987-. Polinômios centrais graduados em álgebras associativas, e mergulhos de álgebras de Jordan: Graded central polynomials in associative algebras, and embeddings of Jordan algebras.

Degree: 2017, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333017

► Abstract: Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Kochloukov, Plamen Emilov, 1958- (advisor), Silva, Diogo Diniz Pereira da Silva… (more)

Subjects/Keywords: Álgebra não-comutativa; PI-álgebras; Polinômios; Jordan, Álgebras de; Noncommutative algebras; PI-algebras; Polynomials; Jordan algebras

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Bezerra Junior, Claudemir Fideles, 1. (2017). Polinômios centrais graduados em álgebras associativas, e mergulhos de álgebras de Jordan: Graded central polynomials in associative algebras, and embeddings of Jordan algebras. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/333017

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Bezerra Junior, Claudemir Fideles, 1987-. “Polinômios centrais graduados em álgebras associativas, e mergulhos de álgebras de Jordan: Graded central polynomials in associative algebras, and embeddings of Jordan algebras.” 2017. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/333017.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Bezerra Junior, Claudemir Fideles, 1987-. “Polinômios centrais graduados em álgebras associativas, e mergulhos de álgebras de Jordan: Graded central polynomials in associative algebras, and embeddings of Jordan algebras.” 2017. Web. 24 Jan 2021.

Vancouver:

Bezerra Junior, Claudemir Fideles 1. Polinômios centrais graduados em álgebras associativas, e mergulhos de álgebras de Jordan: Graded central polynomials in associative algebras, and embeddings of Jordan algebras. [Internet] [Thesis]. Universidade Estadual de Campinas; 2017. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333017.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bezerra Junior, Claudemir Fideles 1. Polinômios centrais graduados em álgebras associativas, e mergulhos de álgebras de Jordan: Graded central polynomials in associative algebras, and embeddings of Jordan algebras. [Thesis]. Universidade Estadual de Campinas; 2017. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333017

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

4. Mello, Thiago Castilho de, 1984-. Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann: Polynomial identities in matrix algebras over the Grassmann algebra.

Degree: 2012, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306366

► Abstract: In this thesis, we study the generic algebra of M1;1 in two generators over an infinite field of characteristic different from 2. We describe… (more)

Subjects/Keywords: Identidade polinomial; Grassmann, Álgebra de; Anéis (Álgebra); PI-álgebras; Álgebra não-comutativa; Polynomial identity; Grassmann algebra; Rings (Algebra); PI-algebra; Noncommutative algebras

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Mello, Thiago Castilho de, 1. (2012). Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann: Polynomial identities in matrix algebras over the Grassmann algebra. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306366

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Mello, Thiago Castilho de, 1984-. “Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann: Polynomial identities in matrix algebras over the Grassmann algebra.” 2012. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306366.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Mello, Thiago Castilho de, 1984-. “Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann: Polynomial identities in matrix algebras over the Grassmann algebra.” 2012. Web. 24 Jan 2021.

Vancouver:

Mello, Thiago Castilho de 1. Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann: Polynomial identities in matrix algebras over the Grassmann algebra. [Internet] [Thesis]. Universidade Estadual de Campinas; 2012. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306366.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Mello, Thiago Castilho de 1. Identidades polinomiais em álgebras matriciais sobre a álgebra de Grassmann: Polynomial identities in matrix algebras over the Grassmann algebra. [Thesis]. Universidade Estadual de Campinas; 2012. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306366

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

5. Biânchi, Angelo Calil, 1984-. Representações de hiperálgebras de laços e álgebras de multi-correntes: Representations of hyper loop algebras and multi curret algebras.

Degree: 2012, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307031

► Abstract: This work is dedicated to the study of some aspects of the representation theory of certain algebras which can be regarded as generalizations of… (more)

Subjects/Keywords: Kac-Moody, Algebras de; Representações de álgebras; Fórmulas de caracteres; Álgebras graduadas; Kac-Moody algebras; Representations of algebras; Hyperalgebras; Character formulas; Graded algebras

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Biânchi, Angelo Calil, 1. (2012). Representações de hiperálgebras de laços e álgebras de multi-correntes: Representations of hyper loop algebras and multi curret algebras. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/307031

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Biânchi, Angelo Calil, 1984-. “Representações de hiperálgebras de laços e álgebras de multi-correntes: Representations of hyper loop algebras and multi curret algebras.” 2012. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307031.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Biânchi, Angelo Calil, 1984-. “Representações de hiperálgebras de laços e álgebras de multi-correntes: Representations of hyper loop algebras and multi curret algebras.” 2012. Web. 24 Jan 2021.

Vancouver:

Biânchi, Angelo Calil 1. Representações de hiperálgebras de laços e álgebras de multi-correntes: Representations of hyper loop algebras and multi curret algebras. [Internet] [Thesis]. Universidade Estadual de Campinas; 2012. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307031.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Biânchi, Angelo Calil 1. Representações de hiperálgebras de laços e álgebras de multi-correntes: Representations of hyper loop algebras and multi curret algebras. [Thesis]. Universidade Estadual de Campinas; 2012. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307031

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

6. Lázaro, Cristiane Alexandra. Propriedades homológicas de álgebras de Hopf: Homological properties of Hopf algebras.

Degree: 2008, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306929

► Abstract: Suppose L is a metabelian Lie algebra over a field k such that L is a split extension of A by B, where A… (more)

Subjects/Keywords: Hopf, Álgebra de; Teoria homologica; Teoria da valorização; Hopf Algebras; Homological Theory; Valuation's theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Lázaro, C. A. (2008). Propriedades homológicas de álgebras de Hopf: Homological properties of Hopf algebras. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306929

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Lázaro, Cristiane Alexandra. “Propriedades homológicas de álgebras de Hopf: Homological properties of Hopf algebras.” 2008. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306929.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Lázaro, Cristiane Alexandra. “Propriedades homológicas de álgebras de Hopf: Homological properties of Hopf algebras.” 2008. Web. 24 Jan 2021.

Vancouver:

Lázaro CA. Propriedades homológicas de álgebras de Hopf: Homological properties of Hopf algebras. [Internet] [Thesis]. Universidade Estadual de Campinas; 2008. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306929.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lázaro CA. Propriedades homológicas de álgebras de Hopf: Homological properties of Hopf algebras. [Thesis]. Universidade Estadual de Campinas; 2008. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306929

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

7. Santulo Junior, Ednei Aparecido. Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras.

Degree: 2007, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306372

► Abstract: Kemer classified, up to PI-equivalence, the T-prime algebras in the case of characteristic zero, and in his celebrated Tenso r Product Theorem (TPT) he… (more)

Subjects/Keywords: Teoremas de mergulho; PI-álgebras; Álgebra não-comutativa; PI-algebras; Noncommulative algebra; Embedding theorems

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Santulo Junior, E. A. (2007). Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306372

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Santulo Junior, Ednei Aparecido. “Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras.” 2007. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306372.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Santulo Junior, Ednei Aparecido. “Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras.” 2007. Web. 24 Jan 2021.

Vancouver:

Santulo Junior EA. Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras. [Internet] [Thesis]. Universidade Estadual de Campinas; 2007. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306372.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Santulo Junior EA. Mergulhos graduados de PI-algebras: Graded embeddings of PI-algebras. [Thesis]. Universidade Estadual de Campinas; 2007. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306372

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

8. Brandão Junior, Antonio Pereira. Polinomios centrais para algebras graduadas: Central polynomials for graded algebras.

Degree: 2006, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306381

► Abstract: In this thesis we study graded central polynomials and central polynomials with involution for some important algebras in the theory of algebras with polynomial… (more)

Subjects/Keywords: Álgebra; Álgebra não-comutativa; PI-álgebras; Noncommutative algebras; PI-algebras; Algebra

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Brandão Junior, A. P. (2006). Polinomios centrais para algebras graduadas: Central polynomials for graded algebras. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306381

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Brandão Junior, Antonio Pereira. “Polinomios centrais para algebras graduadas: Central polynomials for graded algebras.” 2006. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306381.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Brandão Junior, Antonio Pereira. “Polinomios centrais para algebras graduadas: Central polynomials for graded algebras.” 2006. Web. 24 Jan 2021.

Vancouver:

Brandão Junior AP. Polinomios centrais para algebras graduadas: Central polynomials for graded algebras. [Internet] [Thesis]. Universidade Estadual de Campinas; 2006. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306381.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Brandão Junior AP. Polinomios centrais para algebras graduadas: Central polynomials for graded algebras. [Thesis]. Universidade Estadual de Campinas; 2006. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306381

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

9. Macedo, Tiago Rodrigues, 1985-. Characters and cohomology of modules for affine Kac-Moody algebras and generalizations : Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações: Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações.

Degree: 2013, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306998

► Abstract: In this thesis we consider two main problems. The first problem concerns extensions between simple modules for current algebras associated to complex, simple, finite-dimensional… (more)

Subjects/Keywords: Lie, Álgebra de; Álgebra homológica; Representações de álgebras; Lie algebras; Homological algebra; Representations of algebras

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Macedo, Tiago Rodrigues, 1. (2013). Characters and cohomology of modules for affine Kac-Moody algebras and generalizations : Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações: Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306998

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Macedo, Tiago Rodrigues, 1985-. “Characters and cohomology of modules for affine Kac-Moody algebras and generalizations : Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações: Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações.” 2013. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306998.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Macedo, Tiago Rodrigues, 1985-. “Characters and cohomology of modules for affine Kac-Moody algebras and generalizations : Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações: Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações.” 2013. Web. 24 Jan 2021.

Vancouver:

Macedo, Tiago Rodrigues 1. Characters and cohomology of modules for affine Kac-Moody algebras and generalizations : Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações: Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações. [Internet] [Thesis]. Universidade Estadual de Campinas; 2013. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306998.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Macedo, Tiago Rodrigues 1. Characters and cohomology of modules for affine Kac-Moody algebras and generalizations : Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações: Caracteres e cohomologia de módulos para álgebras de Kac-Moody afim e generalizações. [Thesis]. Universidade Estadual de Campinas; 2013. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306998

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

10. Ferreira, Gilmar de Sousa, 1984-. Grupos de extensões para certas categorias de representações graduadas de uma álgebra de Lie graduada: Extension groups for certain categories of graded representations for a graded Lie algebra.

Degree: 2019, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/335762

► Abstract: Given a graded Lie algebra over the nonnegative integers with finite-dimensional graded pieces, we study cohomological aspects of the full subcategory of its graded… (more)

Subjects/Keywords: Lie, Álgebra de; Cohomologia (Matemática); Extensões de grupos (Matemática); Sequências espectrais (Matemática); Lie algebras; Cohomology; Group extensions (Mathematics); Spectral sequences (Mathematics)

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APA (6^th Edition):

Ferreira, Gilmar de Sousa, 1. (2019). Grupos de extensões para certas categorias de representações graduadas de uma álgebra de Lie graduada: Extension groups for certain categories of graded representations for a graded Lie algebra. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/335762

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Ferreira, Gilmar de Sousa, 1984-. “Grupos de extensões para certas categorias de representações graduadas de uma álgebra de Lie graduada: Extension groups for certain categories of graded representations for a graded Lie algebra.” 2019. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/335762.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Ferreira, Gilmar de Sousa, 1984-. “Grupos de extensões para certas categorias de representações graduadas de uma álgebra de Lie graduada: Extension groups for certain categories of graded representations for a graded Lie algebra.” 2019. Web. 24 Jan 2021.

Vancouver:

Ferreira, Gilmar de Sousa 1. Grupos de extensões para certas categorias de representações graduadas de uma álgebra de Lie graduada: Extension groups for certain categories of graded representations for a graded Lie algebra. [Internet] [Thesis]. Universidade Estadual de Campinas; 2019. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/335762.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ferreira, Gilmar de Sousa 1. Grupos de extensões para certas categorias de representações graduadas de uma álgebra de Lie graduada: Extension groups for certain categories of graded representations for a graded Lie algebra. [Thesis]. Universidade Estadual de Campinas; 2019. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/335762

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

11. Pereira, Fernanda de Andrade, 1986-. Classification of the type D irregular minimal affinizations = Classificação das afinizações minimais irregulares de tipo D: Classificação das afinizações minimais irregulares de tipo D.

Degree: 2014, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307009

► Abstract: The concept of minimal affinization, introduced by Chari and Pressley, arose from the impossibility to extend, in general, a representation of the quantum group… (more)

▼ Abstract: The concept of minimal affinization, introduced by Chari and Pressley, arose from the impossibility to extend, in general, a representation of the quantum group associated to a simple Lie algebra for the quantum group associated to its loop algebra, which is always possible in the classical context. A special class of minimal affinizations is that of the Kirillov-Reshetikhin modules, which are minimal affinizations of the irreducible modules with highest weight multiple of a fundamental weight. These modules are central objects in the study of integrable lattices in mechanical statistics. In the past two decades it has been intense the scientific research in the direction of understanding the minimal affinizations, not only by their potential applications in mathematical physics, but also for being a very rich theory for itself, in addition to having strong interaction with combinatorics. There exists an almost complete classification of the equivalence classes of the minimal affinizations in terms of Drinfeld polynomials due to Chari and Pressley. The classification is completed in the case where the support of the highest weight does not enclose a subdiagram of type D4, and in this case there is only one equivalence class. In the case where the support encloses a subdiagram of type D4 the situation depends essentially if support contains the trivalent node of the diagram or not. If it contains, the classification is also completed and there are three equivalence classes. Otherwise the classification is not completed. In this work we present the classification of the equivalence classes for algebras of type D. The main technique used was the combinatorial manipulation of qcharacters through mainly its description via tableaux and sometimes using the Frenkel-Mukhin algorithm Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Moura, Adriano Adrega de, 1975- (advisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Jardim, Marcos Benevenuto (committee member), Futorny, Vyacheslav (committee member), Pogorelsky, Bárbara Seelig (committee member), Ferreira, Vitor de Oliveira (committee member).

Subjects/Keywords: Grupos quânticos; Representações de álgebras; Quantum groups; Representations of algebras

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APA (6^th Edition):

Pereira, Fernanda de Andrade, 1. (2014). Classification of the type D irregular minimal affinizations = Classificação das afinizações minimais irregulares de tipo D: Classificação das afinizações minimais irregulares de tipo D. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/307009

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Pereira, Fernanda de Andrade, 1986-. “Classification of the type D irregular minimal affinizations = Classificação das afinizações minimais irregulares de tipo D: Classificação das afinizações minimais irregulares de tipo D.” 2014. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/307009.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Pereira, Fernanda de Andrade, 1986-. “Classification of the type D irregular minimal affinizations = Classificação das afinizações minimais irregulares de tipo D: Classificação das afinizações minimais irregulares de tipo D.” 2014. Web. 24 Jan 2021.

Vancouver:

Pereira, Fernanda de Andrade 1. Classification of the type D irregular minimal affinizations = Classificação das afinizações minimais irregulares de tipo D: Classificação das afinizações minimais irregulares de tipo D. [Internet] [Thesis]. Universidade Estadual de Campinas; 2014. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307009.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pereira, Fernanda de Andrade 1. Classification of the type D irregular minimal affinizations = Classificação das afinizações minimais irregulares de tipo D: Classificação das afinizações minimais irregulares de tipo D. [Thesis]. Universidade Estadual de Campinas; 2014. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/307009

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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