+publisher:"Universidade Estadual de Campinas" +contributor:("Iusenko, Kostiantyn")

Universidade Estadual de Campinas

1. Flach, Rodrigo Aguiar von, 1986-. Variedades quiver ADHM aumentado = Enhanced ADHM quiver varieties: Enhanced ADHM quiver varieties.

Degree: 2016, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/321497

► Abstract: This work presents the results obtained about the investigation of the properties of the moduli spaces of framed stable representations of the enhanced ADHM… (more)

Subjects/Keywords: Representações de quivers (Matemática); Equações ADHM; Teoria de módulos; Representations of quivers (Mathematics); ADHM equations; Moduli theory

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

APA (6^th Edition):

Flach, Rodrigo Aguiar von, 1. (2016). Variedades quiver ADHM aumentado = Enhanced ADHM quiver varieties: Enhanced ADHM quiver varieties. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/321497

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):

Flach, Rodrigo Aguiar von, 1986-. “Variedades quiver ADHM aumentado = Enhanced ADHM quiver varieties: Enhanced ADHM quiver varieties.” 2016. Thesis, Universidade Estadual de Campinas. Accessed January 26, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/321497.

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

MLA Handbook (7^th Edition):

Flach, Rodrigo Aguiar von, 1986-. “Variedades quiver ADHM aumentado = Enhanced ADHM quiver varieties: Enhanced ADHM quiver varieties.” 2016. Web. 26 Jan 2021.

Vancouver:

Flach, Rodrigo Aguiar von 1. Variedades quiver ADHM aumentado = Enhanced ADHM quiver varieties: Enhanced ADHM quiver varieties. [Internet] [Thesis]. Universidade Estadual de Campinas; 2016. [cited 2021 Jan 26]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/321497.

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

Council of Science Editors:

Flach, Rodrigo Aguiar von 1. Variedades quiver ADHM aumentado = Enhanced ADHM quiver varieties: Enhanced ADHM quiver varieties. [Thesis]. Universidade Estadual de Campinas; 2016. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/321497

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

Universidade Estadual de Campinas

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

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 26, 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. 26 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 26]. 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

3. Calixto, Lucas Henrique, 1989-. Representations of map superalgebras = Representações de superalgebras de funções: Representações de superalgebras de funções.

Degree: 2015, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306987

► Abstract: This thesis is concerned with the representation theory of map Lie superalgebras. We consider a Lie superalgebra of the form \g\otimes A, where A… (more)

▼ Abstract: This thesis is concerned with the representation theory of map Lie superalgebras. We consider a Lie superalgebra of the form \g\otimes A, where A is an associative commutative unital \C-algebra and \g is Lie superalgebra. Given actions of a finite group Γ on both A and \g, by automorphisms, we also consider the subalgebra of \g\otimes A of points fixed by the associated action of Γ, which will be called an equivariant map superalgebra. In the first part of the thesis we classify all irreducible finite-dimensional representations of the equivariant map queer Lie superalgebras (i.e. when the Lie superalgebra \g is \q(n), n ≥ 2) under the assumption that Γ is abelian and acts freely on \MaxSpec (A). We show that the isomorphism classes of such representations are parametrized by a set of Γ-equivariant finitely supported maps from \MaxSpec (A) to the set of isomorphism classes of irreducible finite-dimensional representations of \g. In the special case that A is the coordinate ring of the torus, we obtain a classification of all irreducible finite-dimensional representations of the twisted loop queer superalgebra. In the second part of the thesis, we define global and local Weyl modules for \g \otimes A with \g a basic Lie superalgebra or \fsl(n,n), n ≥ 2. Under some mild assumptions, we prove universality, finite-dimensionality, and tensor product decomposition properties for these modules. We define super-Weyl functors for these Lie superalgebras and we prove several properties that are analogues of those of Weyl functors in the non-super setting. We also point out some features that are new in the super case Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Moura, Adriano Adrega de, 1975- (advisor), Savage, Alistair Rowland John (coadvisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Iusenko, Kostiantyn (committee member), Bekkert, Viktor (committee member), Centrone, Lucio (committee member), Kochloukov, Plamen Emilov (committee member).

Subjects/Keywords: Lie, Superálgebras de; Representações de álgebras; Álgebra de funções; Lie superalgebras; Representations of algebras; Function algebras

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

APA (6^th Edition):

Calixto, Lucas Henrique, 1. (2015). Representations of map superalgebras = Representações de superalgebras de funções: Representações de superalgebras de funções. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306987

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):

Calixto, Lucas Henrique, 1989-. “Representations of map superalgebras = Representações de superalgebras de funções: Representações de superalgebras de funções.” 2015. Thesis, Universidade Estadual de Campinas. Accessed January 26, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306987.

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

MLA Handbook (7^th Edition):

Calixto, Lucas Henrique, 1989-. “Representations of map superalgebras = Representações de superalgebras de funções: Representações de superalgebras de funções.” 2015. Web. 26 Jan 2021.

Vancouver:

Calixto, Lucas Henrique 1. Representations of map superalgebras = Representações de superalgebras de funções: Representações de superalgebras de funções. [Internet] [Thesis]. Universidade Estadual de Campinas; 2015. [cited 2021 Jan 26]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306987.

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

Council of Science Editors:

Calixto, Lucas Henrique 1. Representations of map superalgebras = Representações de superalgebras de funções: Representações de superalgebras de funções. [Thesis]. Universidade Estadual de Campinas; 2015. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306987

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

Universidade Estadual de Campinas

4. Almeida, Charles Aparecido de, 1992-. The geometry of the moduli space of torsion free sheaves on projective spaces : Geometria dos espaços de moduli de feixes sem torção em espaços projetivos: Geometria dos espaços de moduli de feixes sem torção em espaços projetivos.

Degree: 2019, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333541

► Abstract: Our goal is to study the geometry of moduli spaces of rank 2 sheaves on projective spaces. We present a new family of monads… (more)

Subjects/Keywords: Teoria dos feixes; Fibrados vetoriais; Geometria algébrica; Sheaf theory; Vector bundles; Algebraic geometry

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

APA (6^th Edition):

Almeida, Charles Aparecido de, 1. (2019). The geometry of the moduli space of torsion free sheaves on projective spaces : Geometria dos espaços de moduli de feixes sem torção em espaços projetivos: Geometria dos espaços de moduli de feixes sem torção em espaços projetivos. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/333541

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):

Almeida, Charles Aparecido de, 1992-. “The geometry of the moduli space of torsion free sheaves on projective spaces : Geometria dos espaços de moduli de feixes sem torção em espaços projetivos: Geometria dos espaços de moduli de feixes sem torção em espaços projetivos.” 2019. Thesis, Universidade Estadual de Campinas. Accessed January 26, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/333541.

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

MLA Handbook (7^th Edition):

Almeida, Charles Aparecido de, 1992-. “The geometry of the moduli space of torsion free sheaves on projective spaces : Geometria dos espaços de moduli de feixes sem torção em espaços projetivos: Geometria dos espaços de moduli de feixes sem torção em espaços projetivos.” 2019. Web. 26 Jan 2021.

Vancouver:

Almeida, Charles Aparecido de 1. The geometry of the moduli space of torsion free sheaves on projective spaces : Geometria dos espaços de moduli de feixes sem torção em espaços projetivos: Geometria dos espaços de moduli de feixes sem torção em espaços projetivos. [Internet] [Thesis]. Universidade Estadual de Campinas; 2019. [cited 2021 Jan 26]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333541.

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

Council of Science Editors:

Almeida, Charles Aparecido de 1. The geometry of the moduli space of torsion free sheaves on projective spaces : Geometria dos espaços de moduli de feixes sem torção em espaços projetivos: Geometria dos espaços de moduli de feixes sem torção em espaços projetivos. [Thesis]. Universidade Estadual de Campinas; 2019. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333541

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

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