Parameter-dependent associative Yang-Baxter equation and Poisson brackets

Autor:	Odesskii, Alexander, Roubtsov, Vladimir, Sokolov, Vladimir
Přispěvatelé:	Laboratoire Angevin de Recherche en Mathématiques (LAREMA), Université d'Angers (UA)-Centre National de la Recherche Scientifique (CNRS), L.D. Landau Institute for Theoretical Physics of RAS, Russian Academy of Sciences [Moscow] (RAS)
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	Poisson brackets Nonlinear Sciences::Exactly Solvable and Integrable Systems double Poisson structures Yang-Baxter equations Mathematics::Quantum Algebra [MATH]Mathematics [math]
Zdroj:	International Journal of Geometric Methods in Modern Physics International Journal of Geometric Methods in Modern Physics, World Scientific Publishing, 2014, 11 (9), pp.1460036
ISSN:	0219-8878
Popis:	International audience; 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::2fc1051556478e0cd1f43823be9fc2b2 https://hal.univ-angers.fr/hal-03038389/document Zobrazit plný text záznamu