Journal ArticleDOI
On frobenius lie algebras
Reads0
Chats0
About:
This article is published in Communications in Algebra.The article was published on 1980-01-01. It has received 95 citations till now. The article focuses on the topics: Frobenius algebra & Adjoint representation of a Lie algebra.read more
Citations
More filters
Journal ArticleDOI
Solutions of the classical Yang - Baxter equation for simple Lie algebras
Journal ArticleDOI
Coadjoint Orbits of the Virasoro Group
TL;DR: In this article, the coadjoint orbits of the Virasoro group were investigated and the relation between orbits and unitary representations of the group manifold was clarified, and it was shown that quantization of diffS1/S1 is related to unitary representation with non-degenerate Kac determinant (unitary Verma modules).
Journal ArticleDOI
Classification of three-dimensional Lie bialgebras
TL;DR: In this article, a classification of real and complex Lie bialgebras with a description of the corresponding Drinfel-d doubles is given, along with a detailed analysis of their properties.
Boundary Solutions of the Classical Yang-Baxter Equation
TL;DR: In this article, the authors define a new class of unitary solutions to the classical Yang-Baxter equation (CYBE) which lie in the closure of the space of the unitary solution of the modified classical MCYBE.
Journal ArticleDOI
Computing invariants and semi-invariants by means of Frobenius Lie algebras
TL;DR: In this paper, the enveloping algebra of a finite-dimensional Lie algebra over a field k of characteristic zero, Z(U( ) ) its center and Sz( U( ) ), its semi-center, is defined and a sufficient condition is given in order for Sz(U ( ) ) to be a polynomial algebra over k.
References
More filters
Book
Groupes et algèbres de Lie
TL;DR: Les Elements de mathematique de Nicolas Bourbaki ont pour objet une presentation rigoureuse, systematique et sans prerequis des mathematiques depuis leurs fondements as mentioned in this paper.
Book
Linear algebraic groups
TL;DR: Conventions and notation background material from algebraic geometry general notions associated with algebraic groups homogeneous spaces solvable groups Borel subgroups reductive groups rationality questions are discussed in this paper.