Quantization of Poisson pencils and generalized Lie algebras

Details Quantization of Poisson pencils and generalized Lie algebras Quantization of Poisson pencils and generalized Lie algebras

1995-01-09

arxiv.org/abs/q-alg/9501007v1

Mathematics

Quantum Algebra

20 pp., Latex

Scientific paper

10.1007/BF02065870

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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