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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 ...
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 ...
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 ...
Isomorphism Problem for Universal Enveloping Algebras of Solvable Lie Algebras
(Universidade Federal de Minas GeraisUFMG, 2019-03-18)
We dedicate this thesis to study the isomorphism problem for solvable Lie algebras of dimension at most 4. The principal contribution is to show that the isomorphism problem has a positive solution for 4-dimensional solvable ...
Lie–Rinehart and Hochschild cohomology for algebras of differential operators
(Elsevier Science, 2021-01)
Let be a Lie–Rinehart algebra such that L is S-projective and let U be its universal enveloping algebra. In this paper we present a spectral sequence which converges to the Hochschild cohomology of U with values on a ...
Algebras de Lie finitamente apresentaveis
([s.n.], 2005)
A finite-dimensional Lie algebra arising from a Nichols algebra of diagonal type (rank 2)
(Belgian Mathematical Soc Triomphe, 2017-01)
Let Bq be a finite-dimensional Nichols algebra of diagonal type corresponding to a matrix q ∈ k θ×θ . Let Lq be the Lusztig algebra associated to Bq [AAR]. We present Lq as an extension (as braided Hopf algebras) of Bq by ...
Universal poisson envelope for binary-lie algebrasCOMMUNICATIONS IN ALGEBRACOMMUN ALGEBRA
(MARCEL DEKKER INC, 2013)
O centro das álgebras envolventes universais de álgebras de Lie nilpotentes em caraterística prima
(Universidade Federal de Minas GeraisBrasilICX - DEPARTAMENTO DE MATEMÁTICAPrograma de Pós-Graduação em MatemáticaUFMG, 2021-08-13)
Let $\mathfrak{g}$ be a finite-dimensional Lie algebra over a field $\mathbb{F}$ of prime characteristic $p$ and let $U(\mathfrak{g})$ be the universal enveloping algebra of $\mathfrak{g}$. We know from the literature that ...