Associative triples and Yang-Baxter equation
Andrei Mudrov
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 An-type Belavin-Drinfel'd triples are derived in this way.
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