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arXiv · q-alg/9503019

Quadratic Poisson brackets and Drinfeld theory for associative algebras

A. A. Balinsky·Yu. M. Burman
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Abstract

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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BibTeXRIS

A. A. Balinsky, Yu. M. Burman. 1995-03-31. Quadratic Poisson brackets and Drinfeld theory for associative algebras. https://doi.org/10.1007/bf00398299

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