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Órbitas nilpotentes en álgebras de Kac Moody afines
(2018)
En esta tesis definimos las órbitas nilpotentes en álgebras de Kac Moody afines no torcidas bajo la acción adjunta del grupo de Kac Moody maximal sobre la extensión positiva del álgebra de Kac Moody, damos algunos resultados ...
"Álgebras 'S3 Kac-Moody"
([s.n.], 1995)
A cohomological proof of Peterson-Kac's theorem of conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras
(Elsevier, 2014-02)
This paper deals with the problem of conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras. Unlike the methods used by Peterson and Kac, our approach is entirely cohomological and geometric. It is deeply rooted ...
Estrutura algébrica dos modelos integráveis
(Universidade Estadual Paulista (Unesp), 2007-04-16)
The structure of Kac-Moody algebras and its representations constitute a basic ingredient for the construction of integrable hierarchies and its soliton solutions (obtained from the dressing method). Several models within ...
Bases de módulos de Weyl locaisBasis of local Weyl modules
([s.n.], 2015)
Estrutura algébrica dos modelos integráveis
(Universidade Estadual Paulista (Unesp), 2016)
Estrutura algébrica dos modelos integráveis
(Universidade Estadual Paulista (UNESP), 2016)
Uma resolução livre para certas álgebras
(Universidade Federal de São Paulo (UNIFESP), 2020-09-18)
The notion of resolutions in homological algebra is generally used to define invariants that characterize an algebraic structure. The objective of this dissertation is to study a free resolution for associative algebras ...