Classification of constant solutions of the associative Yang-Baxter equation on Mat3 |
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Authors: | V V Sokolov |
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Institution: | 1. Landau Institute for Theoretical Physics, Moscow, Russia
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Abstract: | We find all nonequivalent constant solutions of the classical associative Yang-Baxter equation for Mat 3 . New examples found in the classification yield the corresponding Poisson brackets on traces, double Poisson brackets on a free associative algebra with three generators, and anti-Frobenius associative algebras. |
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