Quadratic Poisson brackets compatible with an algebra structure

Details Quadratic Poisson brackets compatible with an algebra structure Quadratic Poisson brackets compatible with an algebra structure

1994-07-07

arxiv.org/abs/hep-th/9407041v2

J.Phys. A27 (1994) L693-L696

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1088/0305-4470/27/18/008

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.

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