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Estructura de álgebra de Poisson de la cohomología de ciertas álgebras de Lie nilpotentes
(2022-07-29)
Si g es un álgebra de Lie, la cohomología H**(g) tiene una estructura de súper-álgebra de
Poisson con producto asociativo súper-conmutativo V y un súper-corchete de Lie {-,-} que se
compatibiliza con el producto \vee en ...
Álgebras de Lie nilpotentes e solúveis
(Universidade Federal de Minas GeraisUFMG, 2017-03-02)
The goal of the current work is to introduce Lie algebras and to present their basic properties concerning subalgebras, homomorphisms and representations. We will also define nilpotent and solvable Lie algebras and prove ...
Ideals of identities of representations of nilpotent Lie algebras
(Marcel Dekker IncNew YorkEUA, 2000)
The Lie algebra of derivations of a current Lie algebra
(Taylor & Francis, 2019-09)
Let K be a field of characteristic zero, g be a finite dimensional K-Lie algebra and let A be a finite dimensional associative and commutative K-algebra with unit. We describe the structure of the Lie algebra of derivations ...
Representações de peso máximo para álgebras de Lie correntes truncadasHighest weight representations for truncated current Lie algebras
(Universidade Federal de ViçosaBRÁlgebra; Análise; Geometria e Topologia; Matemática AplicadaMestrado em MatemáticaUFV, 2015)
Estudo de nova fórmula de caracteres para representações de Álgebra de Lie semissimples
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2015-08-28)
The objective of this dissertation is descrive formally the irreducible representations of finitedimensional semisimple Lie algebras g over a field F algebraically closed with characteristic zero, as also get some multiplicity ...
Minimal representations for 6-dimensional nilpotent Lie algebra
(World Scientific, 2016-12)
Given a Lie algebra , let μ(g) and μnil(g) be the minimal dimension of a faithful representation and nilrepresentation of , respectively. In this paper, we give μ(g) and μnil(g) for each nilpotent Lie algebra of dimension ...
Super álgebras de funçõesMap superalgebras
([s.n.], 2013)
Finite-Dimensional Representations of Hyper Loop Algebras over Non-algebraically Closed Fields
(SpringerDordrechtHolanda, 2010)