Associative triples and Yang-Baxter equation
Quantum Algebra
2007-05-23 v6
Abstract
We introduce triples of associative algebras as a tool for building solutions to the Yang-Baxter equation. It turns out that the class of R-matrices thus obtained is related to a Hecke-like condition, which is formulated for associative algebras with symmetric cyclic inner product. R-matrices for a subclass of the -type Belavin-Drinfel'd triples are derived in this way.
Cite
@article{arxiv.math/0003050,
title = {Associative triples and Yang-Baxter equation},
author = {Andrei Mudrov},
journal= {arXiv preprint arXiv:math/0003050},
year = {2007}
}
Comments
Replaced with a revised version