Geodesic
Classification of constant solutions of the~associative Yang--Baxter equation on $\operatorname{Mat}_3$
Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 3, pp. 385-392

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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
Mots-clés : constant solution, classification. 
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     author = {V. V. Sokolov},
     title = {Classification of constant solutions of the~associative {Yang--Baxter} equation on $\operatorname{Mat}_3$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {385--392},
     publisher = {mathdoc},
     volume = {176},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_176_3_a3/}
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V. V. Sokolov. Classification of constant solutions of the~associative Yang--Baxter equation on $\operatorname{Mat}_3$. Teoretičeskaâ i matematičeskaâ fizika, Tome 176 (2013) no. 3, pp. 385-392. http://geodesic.mathdoc.fr/item/TMF_2013_176_3_a3/