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Two types of Poisson pencils and related quantum objects

arXiv:q-alg/9703042

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.

23 pages Latex, to appear in Lie goups, their representations, generalizations and applications, Kluwer