Classification of constant solutions for associative Yang-Baxter equation on $gl(3)$
Exactly Solvable and Integrable Systems
2015-06-12 v1
Abstract
We find all non-equivalent constant solutions for classical associative Yang-Baxter equation for . 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.
Keywords
Cite
@article{arxiv.1212.6421,
title = {Classification of constant solutions for associative Yang-Baxter equation on $gl(3)$},
author = {V. Sokolov},
journal= {arXiv preprint arXiv:1212.6421},
year = {2015}
}