Associative triples and Yang-Baxter equation

Details Associative triples and Yang-Baxter equation Associative triples and Yang-Baxter equation

2000-03-08

arxiv.org/abs/math/0003050v6

Mathematics

Quantum Algebra

Replaced with a revised version

Scientific paper

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 $A_n$-type Belavin-Drinfel'd triples are derived in this way.

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