dorsal/arxiv
View SchemaQuantization of Poisson pencils and generalized Lie algebras
| Authors | D. Gurevich, V. Rubtsov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9501007 |
| URL | https://arxiv.org/abs/q-alg/9501007 |
| DOI | 10.1007/BF02065870 |
Abstract
We describe two types of Poisson pencils generated by a linear bracket and a quadratic one arising from a classical R-matrix. A quantization scheme is discussed for each. The quantum algebras are represented as the enveloping algebras of ``generalized Lie algebras''.
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"abstract": "We describe two types of Poisson pencils generated by a linear bracket and a\nquadratic one arising from a classical R-matrix. A quantization scheme is\ndiscussed for each. The quantum algebras are represented as the enveloping\nalgebras of ``generalized Lie algebras\u0027\u0027.",
"arxiv_id": "q-alg/9501007",
"authors": [
"D. Gurevich",
"V. Rubtsov"
],
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"q-alg",
"math.QA"
],
"doi": "10.1007/BF02065870",
"title": "Quantization of Poisson pencils and generalized Lie algebras",
"url": "https://arxiv.org/abs/q-alg/9501007"
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