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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 ...
ON SPECIALITY OF BINARY-LIE ALGEBRAS
(WORLD SCIENTIFIC PUBL CO PTE LTD, 2011)
In the present work, binary-Lie, assocyclic, and binary (-1,1) algebras are studied. We prove that, for every assocyclic algebra A, the algebra A(-) is binary-Lie. We find a simple non-Malcev binary-Lie superalgebra T that ...
On speciality of binary-Lie algebras
(World Scientific Publishing Co. Pte Ltd, 2011)
In the present work, binary-Lie, assocyclic, and binary (-1,1) algebras are studied. We prove that, for every assocyclic algebra A, the algebra A - is binary-Lie. We find a simple non-Malcev binary-Lie superalgebra T that ...
Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2
(European Mathematical Society, 2014-01)
Let M(n) be the class of all multiloop algebras of finite dimensional simple Lie algebras relative to n-tuples of commuting finite order automorphisms. It is a classical result that M(n) the class of all derived algebras ...
Grupos de Lie compactosCompact Lie groups
([s.n.], 2011)
G2 e as álgebras normadasG2 and the normed algebras
([s.n.], 2012)
Estructuras de biálgebras de Lie sobre el álgebra de Lie de Heisenberg y el álgebra de polinomios truncados
(Pontificia Universidad Javeriana, 2020)
Algebras de vértices libres y álgebras de Lie conformes no lineales
(2016-12)
El presente trabajo constituye una revisión de la construcción del álgebra de vértices universal envolvente de un álgebra de Lie conforme. Comenzamos dando los resultados básicos relacionados con las álgebras conformes y ...