Parameter-dependent associative Yang-Baxter equations and Poisson brackets - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2013

Parameter-dependent associative Yang-Baxter equations and Poisson brackets

Résumé

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.

Dates et versions

hal-00931983 , version 1 (16-01-2014)

Identifiants

Citer

Alexander Odesskii, Vladimir Rubtsov, Vladimir Sokolov. Parameter-dependent associative Yang-Baxter equations and Poisson brackets. 2013. ⟨hal-00931983⟩
109 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More