Quadratic Poisson brackets and Drinfeld theory for associative algebras

Details Quadratic Poisson brackets and Drinfeld theory for associative algebras Quadratic Poisson brackets and Drinfeld theory for associative algebras

1995-03-31

arxiv.org/abs/q-alg/9503019v1

Mathematics

Quantum Algebra

16 pages, latex, no figures

Scientific paper

10.1007/BF00398299

The paper 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 paper also
contains a description of Poisson Lie structures on Lie groups whose Lie
algebras are adjacent to an associative structure.

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