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You searched for +publisher:"Universidade Estadual de Campinas" +contributor:("Matucci, Francesco"). Showing records 1 – 3 of 3 total matches.

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1. Martins, Victor do Nascimento, 1989-. Truncated Weyl modules as Chari-Venkatesh modules and fusion products : Módulos de Weyl truncados via módulos de Chari-Venkatesh e produtos de fusão: Módulos de Weyl truncados via módulos de Chari-Venkatesh e produtos de fusão.

Degree: 2017, Universidade Estadual de Campinas

Abstract: We study structural properties of truncated Weyl modules. Given a simple Lie algebra g and a dominant integral weight λ, the graded local Weyl module W(λ) is the universal finite-dimensional graded highest-weight module for the current algebra g[t]= g\otimes C[t]. For each positive integer N, the quotient WN(λ) of W(λ) by the submodule generated by the action of the ideal g\otimes tNC[t] on the highest-weight vector is called a truncated Weyl module. It satisfies the same universal property as W(λ) when regarded as a module for the corresponding truncated current algebra g[t]N=g \otimes \frac{C[t]}{tNC[t]}. Chari-Fourier-Sagaki conjectured that if N ≤  |λ|, WN(λ) should be isomorphic to the fusion product of certain irreducible modules. Our main result proves this conjecture when λ is a multiple of a minuscule weight and g is simply laced. We also take a further step towards proving the conjecture for multiples of a ''small'' fundamental weight which is not minuscule by proving that the corresponding truncated Weyl module is isomorphic to the quotient of a fusion product of Kirillov-Reshetikhin modules by a very simple relation. One important part of the proof of our main result, and the second main result of this work, is a proof that any truncated Weyl module is isomorphic to a Chari-Venkatesh module and explicitly describes the corresponding family of partitions. This leads to further results in the case that g={sl}2 related to Demazure flags and chains of inclusions of truncated Weyl modules Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Moura, Adriano Adrega de, 1975- (advisor), Fourier, Ghislain (coadvisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Kochloukov, Plamen Emilov (committee member), Matucci, Francesco (committee member), Guerreiro, Marines (committee member).

Subjects/Keywords: Weyl, Módulos de; Produtos tensoriais; Representações de álgebras; Kac-Moody, Algebras de; Weyl modules; Tensor product; Representations of algebras; Kac-Moody algebras

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

APA (6th Edition):

Martins, Victor do Nascimento, 1. (2017). Truncated Weyl modules as Chari-Venkatesh modules and fusion products : Módulos de Weyl truncados via módulos de Chari-Venkatesh e produtos de fusão: Módulos de Weyl truncados via módulos de Chari-Venkatesh e produtos de fusão. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/332339

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

Chicago Manual of Style (16th Edition):

Martins, Victor do Nascimento, 1989-. “Truncated Weyl modules as Chari-Venkatesh modules and fusion products : Módulos de Weyl truncados via módulos de Chari-Venkatesh e produtos de fusão: Módulos de Weyl truncados via módulos de Chari-Venkatesh e produtos de fusão.” 2017. Thesis, Universidade Estadual de Campinas. Accessed March 07, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/332339.

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

MLA Handbook (7th Edition):

Martins, Victor do Nascimento, 1989-. “Truncated Weyl modules as Chari-Venkatesh modules and fusion products : Módulos de Weyl truncados via módulos de Chari-Venkatesh e produtos de fusão: Módulos de Weyl truncados via módulos de Chari-Venkatesh e produtos de fusão.” 2017. Web. 07 Mar 2021.

Vancouver:

Martins, Victor do Nascimento 1. Truncated Weyl modules as Chari-Venkatesh modules and fusion products : Módulos de Weyl truncados via módulos de Chari-Venkatesh e produtos de fusão: Módulos de Weyl truncados via módulos de Chari-Venkatesh e produtos de fusão. [Internet] [Thesis]. Universidade Estadual de Campinas; 2017. [cited 2021 Mar 07]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/332339.

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

Council of Science Editors:

Martins, Victor do Nascimento 1. Truncated Weyl modules as Chari-Venkatesh modules and fusion products : Módulos de Weyl truncados via módulos de Chari-Venkatesh e produtos de fusão: Módulos de Weyl truncados via módulos de Chari-Venkatesh e produtos de fusão. [Thesis]. Universidade Estadual de Campinas; 2017. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/332339

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


Universidade Estadual de Campinas

2. Mokari, Fatemeh Yeganeh, 1982-. Números virtuais racionais de Betti de grupos solúveis de tipo homológico FPn: Virtual rational Betti numbers of solvable groups of homological type FPn.

Degree: 2016, Universidade Estadual de Campinas

Abstract: In this thesis we study the virtual rational Betti numbers of abelian-by-polycyclic groups and nilpotent-by-abelian groups which are of type FPn. The virtual rational Betti numbers of a finitely generated group study the growth of the Betti numbers of a group as one passes to subgroups of finite index. ...Note: The complete abstract is available with the full electronic document Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Kochloukova, Dessislava Hristova, 1970- (advisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Matucci, Francesco (committee member), Lopatin, Artem (committee member), Gonçalves, Daciberg Lima (committee member), Dokuchaev, Mikhajolo (committee member).

Subjects/Keywords: Grupos metabelianos; Homologia (Matemática); Betti, Números de; Metabelian groups; Homology theory; Betti numbers

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

APA (6th Edition):

Mokari, Fatemeh Yeganeh, 1. (2016). Números virtuais racionais de Betti de grupos solúveis de tipo homológico FPn: Virtual rational Betti numbers of solvable groups of homological type FPn. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/321004

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

Chicago Manual of Style (16th Edition):

Mokari, Fatemeh Yeganeh, 1982-. “Números virtuais racionais de Betti de grupos solúveis de tipo homológico FPn: Virtual rational Betti numbers of solvable groups of homological type FPn.” 2016. Thesis, Universidade Estadual de Campinas. Accessed March 07, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/321004.

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

MLA Handbook (7th Edition):

Mokari, Fatemeh Yeganeh, 1982-. “Números virtuais racionais de Betti de grupos solúveis de tipo homológico FPn: Virtual rational Betti numbers of solvable groups of homological type FPn.” 2016. Web. 07 Mar 2021.

Vancouver:

Mokari, Fatemeh Yeganeh 1. Números virtuais racionais de Betti de grupos solúveis de tipo homológico FPn: Virtual rational Betti numbers of solvable groups of homological type FPn. [Internet] [Thesis]. Universidade Estadual de Campinas; 2016. [cited 2021 Mar 07]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/321004.

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

Council of Science Editors:

Mokari, Fatemeh Yeganeh 1. Números virtuais racionais de Betti de grupos solúveis de tipo homológico FPn: Virtual rational Betti numbers of solvable groups of homological type FPn. [Thesis]. Universidade Estadual de Campinas; 2016. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/321004

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


Universidade Estadual de Campinas

3. Tosti, Altair Santos de Oliveira, 1989-. Decision problems in homeomorphism groups : Problemas de decisão em grupos de homeomorfismo: Problemas de decisão em grupos de homeomorfismo.

Degree: 2019, Universidade Estadual de Campinas

Abstract: In the present work we study decision problems in Monod¿s group H:=H(ℝ), the group of piecewise projective orientation-preserving homeomorphisms of the projective real line ℝP1 which stabilize infinity. This group was introduced in [21] as counterexample of the von Neumann-Day conjecture. By generalizing techniques from [8, 17, 20], we developed a conjugacy invariant for the group H. Moreover, we describe another conjugacy invariant for this group. As applications of both invariants, we compute centralizer subgroups of elements from H Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Kochloukova, Dessislava Hristova, 1970- (advisor), Matucci, Francesco, 1977- (coadvisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Lopatin, Artem (committee member), Kochloukov, Plamen Emilov (committee member), Dantas, Alex Carrazedo (committee member), Tanushevski, Slobodan (committee member).

Subjects/Keywords: Homeomorfismos; Teoria dos grupos; Problema da conjugação (Matemática); Centralizadores (Matemática); Homeomorphisms; Group theory; Conjugacy problem (Mathematics); Centralizers (Mathematics)

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

APA (6th Edition):

Tosti, Altair Santos de Oliveira, 1. (2019). Decision problems in homeomorphism groups : Problemas de decisão em grupos de homeomorfismo: Problemas de decisão em grupos de homeomorfismo. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/333540

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

Chicago Manual of Style (16th Edition):

Tosti, Altair Santos de Oliveira, 1989-. “Decision problems in homeomorphism groups : Problemas de decisão em grupos de homeomorfismo: Problemas de decisão em grupos de homeomorfismo.” 2019. Thesis, Universidade Estadual de Campinas. Accessed March 07, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/333540.

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

MLA Handbook (7th Edition):

Tosti, Altair Santos de Oliveira, 1989-. “Decision problems in homeomorphism groups : Problemas de decisão em grupos de homeomorfismo: Problemas de decisão em grupos de homeomorfismo.” 2019. Web. 07 Mar 2021.

Vancouver:

Tosti, Altair Santos de Oliveira 1. Decision problems in homeomorphism groups : Problemas de decisão em grupos de homeomorfismo: Problemas de decisão em grupos de homeomorfismo. [Internet] [Thesis]. Universidade Estadual de Campinas; 2019. [cited 2021 Mar 07]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333540.

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

Council of Science Editors:

Tosti, Altair Santos de Oliveira 1. Decision problems in homeomorphism groups : Problemas de decisão em grupos de homeomorfismo: Problemas de decisão em grupos de homeomorfismo. [Thesis]. Universidade Estadual de Campinas; 2019. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/333540

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

.