Open Access Theses and Dissertations

Advanced search options

Advanced Search Options 🞨

Browse by author name (“Author name starts with…”).

Find ETDs with:

in
/  
in
/  
in
/  
in

Written in Published in Earliest date Latest date

Sorted by

Results per page:

You searched for +publisher:"Universidade Estadual de Campinas" +contributor:("Heluani, Reimundo"). One record found.

Search Limiters

Last 2 Years | English Only

No search limiters apply to these results.

▼ Search Limiters


Universidade Estadual de Campinas

1. 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 Lie algebras. To begin, we compute 1-extensions between finite-dimensional simple modules, partially recovering a result due to Kodera. Then we develop a technique aimed to compute higher extensions, and which we use to compute 2-extensions between certain simple modules. Finally we prove that cohomology groups of current algebras are isomorphic to the cohomology groups of its underlying simple Lie algebra, a result stated by Feigin. This part of the thesis arises from collaboration with B. Boe, C. Drupieski and D. Nakano. The second problem is concerned with the study of certain classes of modules for hyper algebras of current algebras. In the case that the underlying Lie algebra is simply laced, we show that local Weyl modules are isomorphic to certain Demazure modules, extending to positive characteristic a result due to Fourier-Littelmann. More generally, we extend a result of Naoi by proving that local Weyl modules admit a Demazure flag, i.e., a filtration with factors isomorphic to Demazure modules. Using this, we prove a conjecture of Jakelic-Moura stating that the character of local Weyl modules for hyper loop algebras are independent of the (algebraically closed) ground field Advisors/Committee Members: UNIVERSIDADE ESTADUAL DE CAMPINAS (CRUESP), Moura, Adriano Adrega de, 1975- (advisor), Nakano, Daniel Ken, 1964- (coadvisor), Universidade Estadual de Campinas. Instituto de Matemática, Estatística e Computação Científica (institution), Programa de Pós-Graduação em Matemática (nameofprogram), Bekkert, Viktor (committee member), Kochloukova, Dessislava Hristova (committee member), Heluani, Reimundo (committee member), Futorny, Vyacheslav (committee member).

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

Record Details  Similar Records    Google PlusoneFacebookTwitterCiteULikeMendeleyreddit

❌

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

APA (6th 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 (16th 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 26, 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 (7th 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. 26 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 26]. 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

.