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Problema do isomorfismo para álgebras envolventes universais de álgebra de lie
(Universidade Federal de Minas GeraisUFMG, 2014-08-06)
Let L and H be two Lie algebras and UL and UH be their respective universal enveloping algebras. The isomorphism problem for universal enveloping algebras of Lie algebras asks us to determine under what conditions the ...
Generalizations of Lie Algebras
(SPRINGER BASEL AGBASEL, 2012)
The generalizations of Lie algebras appeared in the modern mathematics and mathematical physics. In this paper we consider recent developments and remaining open problems on the subject. Some of that developments have been ...
The cohomology of filiform Lie algebras of maximal rank
(Elsevier Science Inc, 2014-06)
We describe the structure of the cohomology of the filiform Lie algebras Ln and Qn as a module over their (2-dimensional) torus of derivations. Our approach relies on the fact that both filiform algebras have an ideal h ...
Universal Poisson Envelope for Binary-Lie Algebras
(2013)
In this article the universal Poisson enveloping algebra for a binary-Lie algebra is constructed. Taking a basis B{double-struck} of a binary-Lie algebra B, we consider the symmetric algebra S(B) of polynomials in the ...
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)
Deformaciones de álgebras de Lie nilpotentes filiformes
(2017-02)
Michele Vergne inició el estudio de la geometría de la variedad algebraica de todas las álgebras o corchetes de Lie nilpotentes mostrando el rol distintivo de las álgebras de Lie nilpotentes filiformes, aquéllas de nilíndice ...
The Nash–Moser theorem of Hamilton and rigidity of finite dimensional nilpotent Lie algebras
(Elsevier Science, 2017-09)
We apply the Nash–Moser theorem for exact sequences of R. Hamilton to the context of deformations of Lie algebras and we discuss some aspects of the scope of this theorem in connection with the polynomial ideal associated ...
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 ...