dorsal/arxiv
View SchemaQuadratic Poisson brackets and Drinfeld theory for associative algebras
| Authors | A. A. Balinsky, Yu. M. Burman |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9503019 |
| URL | https://arxiv.org/abs/q-alg/9503019 |
| DOI | 10.1007/BF00398299 |
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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"abstract": "The paper is devoted to the Poisson brackets compatible with multiplication\nin associative algebras. These brackets are shown to be quadratic and their\nrelations with the classical Yang--Baxter equation are revealed. The paper also\ncontains a description of Poisson Lie structures on Lie groups whose Lie\nalgebras are adjacent to an associative structure.",
"arxiv_id": "q-alg/9503019",
"authors": [
"A. A. Balinsky",
"Yu. M. Burman"
],
"categories": [
"q-alg",
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],
"doi": "10.1007/BF00398299",
"title": "Quadratic Poisson brackets and Drinfeld theory for associative algebras",
"url": "https://arxiv.org/abs/q-alg/9503019"
},
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