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Two types of Poisson pencils and related quantum objects

D. Gurevich·J. Donin·V. Rubstov
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Abstract

Two types of Poisson pencils connected to classical R-matrices and their quantum counterparts are considered. A representation theory of the quantum algebras related to some symmetric orbits in $sl(n)^*$ is constructed. A twisted version of quantum mechanics is discussed.

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D. Gurevich, J. Donin, V. Rubstov. 1997-03-26. Two types of Poisson pencils and related quantum objects. https://arxiv.org/abs/q-alg/9703042

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