Lie algebras and Yang-Baxter equations
Quantum Algebra
2011-07-06 v1 High Energy Physics - Theory
Abstract
At the previous congress (CRM 6), we reviewed the construction of Yang-Baxter operators from associative algebras, and presented some (colored) bialgebras and Yang-Baxter systems related to them. The current talk deals with Yang-Baxter operators from (G, \theta)-Lie algebras (structures which unify the Lie algebras and the Lie superalgebras). Thus, we produce solutions for the constant and the spectral-parameter Yang-Baxter equations, Yang-Baxter systems, etc. Attempting to present the general framework we review the work of other authors and we propose problems, applications and directions of study.
Cite
@article{arxiv.1107.0920,
title = {Lie algebras and Yang-Baxter equations},
author = {Florin F. Nichita},
journal= {arXiv preprint arXiv:1107.0920},
year = {2011}
}
Comments
Talk given at the 7-th Congress of the Romanian Mathematicians