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Associative triples and Yang-Baxter equation | Andrei Mudrov
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8 Mar 2000 | Subject: | Quantum Algebra | math.QA | 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 $A_n$-type Belavin-Drinfel’d triples are derived in this way. | Source: | arXiv, math.QA/0003050 | Services: | Forum | Review | PDF | Favorites |
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