Quantization of Poisson pencils and generalized Lie algebras
classification
q-alg
math.QA
keywords
algebrasgeneralizedpencilspoissonquantizationarisingbracketclassical
read the original 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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