Quadratic Poisson brackets and the Drinfeld theory for associative algebras [Letter]

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 and Burman, Yu. 1996. Quadratic Poisson brackets and the Drinfeld theory for associative algebras [Letter]. Letters in Mathematical Physics 38 (1) , pp. 63-75. 10.1007/BF00398299

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Abstract

The Letter is devoted to the Poisson brackets compatible with multiplication in associative algebras. These brackets are shown to be quadratic and their relations with the classical Yang-Baxter equation are revealed. The Letter also contains a description of Poisson Lie structures on Lie groups whose Lie algebras are adjacent to an associative structure.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Uncontrolled Keywords:	Poisson brackets - associative algebra - Yang-Baxter equation
Publisher:	Springer
ISSN:	0377-9017
Last Modified:	21 Oct 2022 09:37
URI:	https://orca.cardiff.ac.uk/id/eprint/37055

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