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arXiv · q-alg/9501007

Quantization of Poisson pencils and generalized Lie algebras

D. Gurevich·V. Rubtsov
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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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BibTeXRIS

D. Gurevich, V. Rubtsov. 1995-01-09. Quantization of Poisson pencils and generalized Lie algebras. https://doi.org/10.1007/bf02065870

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