Quantization of Poisson pencils and generalized Lie algebras

Mathematics – Quantum Algebra

Scientific paper

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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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