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Quadratic Poisson brackets and the Drinfeld theory for associative algebras

โœ Scribed by A. Balinsky; Yu. Burman


Publisher
Springer
Year
1996
Tongue
English
Weight
611 KB
Volume
38
Category
Article
ISSN
0377-9017

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โœฆ Synopsis


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.


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