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This article is cited in 11 scientific papers (total in 11 papers)
Classification of constant solutions of the associative Yang–Baxter equation on $\operatorname{Mat}_3$
V. V. Sokolov Landau Institute for Theoretical Physics, Moscow, Russia
Abstract:
We find all nonequivalent constant solutions of the classical associative Yang–Baxter equation for $\operatorname{Mat}_3$. 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.
Keywords:
associative Yang–Baxter equation, constant solution, classification.
Received: 06.01.2013
Citation:
V. V. Sokolov, “Classification of constant solutions of the associative Yang–Baxter equation on $\operatorname{Mat}_3$”, TMF, 176:3 (2013), 385–392; Theoret. and Math. Phys., 176:3 (2013), 1156–1162
Linking options:
https://www.mathnet.ru/eng/tmf8467https://doi.org/10.4213/tmf8467 https://www.mathnet.ru/eng/tmf/v176/i3/p385
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Abstract page: | 504 | Full-text PDF : | 192 | References: | 55 | First page: | 29 |
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