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Quadratic Poisson brackets compatible with an algebra structure [Letter]

Balinsky, Alexander ORCID: and Burman, Yu M 1994. Quadratic Poisson brackets compatible with an algebra structure [Letter]. Journal of Physics A: Mathematical and General 27 (18) , L693-L696. 10.1088/0305-4470/27/18/008

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Quadratic Poisson brackets on a vector space equipped with a bilinear multiplication are studied. A notion of a bracket compatible with the multiplication is introduced and an effective criterion of such compatibility is given. Among compatible brackets, a subclass of coboundary brackets is described, and such brackets are enumerated in a number of examples.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: IOP Publishing
ISSN: 0305-4470
Last Modified: 21 Oct 2022 09:37

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