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arXiv · 1107.0920

Lie algebras and Yang-Baxter equations

Florin F. Nichita
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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.

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Florin F. Nichita. 2011-07-05. Lie algebras and Yang-Baxter equations. https://arxiv.org/abs/1107.0920

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