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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 ...
R-álgebras de dimensão finita
(Universidade Federal de SergipeMestrado Profissional em MatemáticaBrasilUFS, 2017)
Álgebras e coálgebras
(Universidade Tecnológica Federal do ParanáToledoBrasilLicenciatura em MatemáticaUTFPR, 2016-11-25)
The present work aims to define and exemplify algebras and coalgebras, using the tensor product. Two important results are presented, the first one, the fact that if there is a finite dimensional algebra, then when one ...
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 ...
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 ...
Introdução à álgebra de Hopf
(Universidade Tecnológica Federal do ParanáToledoBrasilLicenciatura em MatemáticaUTFPR, 2018-12-07)
The purpose of this work is to present the studies realized about algebras, coalgebras and bialgebras, culminating in the definition of Hopf algebras. Examples of each algebraic structures, as well as counterexamples when ...
On the multi-Koszul property for connected algebras
(Univ Bielefeld, 2013-12)
In this article we introduce the notion of multi-Koszul algebra for the case of a locally finite dimensional nonnegatively graded connected algebra, as a generalization of the notion of (generalized) Koszul algebras defined ...