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Parameter-dependent associative Yang-Baxter equations and Poisson brackets by Odesskii, Alexander; Rubtsov, Vladimir; Sokolov, Vladimir is a scholarly article available to read on EtoBox.

What is Parameter-dependent associative Yang-Baxter equations and Poisson brackets about?

We discuss associative analogues of classical Yang-Baxter equation meromorphically dependent on parameters. We discover that such equations enter in a description of a general class of parameter-dependent Poisson structures and double Lie and Poisson structures in sense of M. Van den Bergh. We propose a classification of all solutions for one-dimensional associative Yang-Baxter equations.

Author

Odesskii, Alexander; Rubtsov, Vladimir; Sokolov, Vladimir

Published

2013

Language

EN