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arXiv · 1212.6421

Classification of constant solutions for associative Yang-Baxter equation on $gl(3)$

V. Sokolov
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Abstract

We find all non-equivalent constant solutions for classical associative Yang-Baxter equation for $gl(3)$. New examples found in the classification yield the corresponding quadratic trace Poisson brackets, double Poisson structures on free associative algebra with three generators and anti-Frobenius associative algebras.

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V. Sokolov. 2012-12-27. Classification of constant solutions for associative Yang-Baxter equation on $gl(3)$. https://doi.org/10.1007/s11232-013-0096-z

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