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Two types of Poisson pencils and related quantum objects

1997/03/26 by Dimitri Gurevich, D. Gurevich, Gurevich, D. +4
Mathematics · Physics and Astronomy · #Quantum and Classical Electrodynamics #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9703042

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

arxiv created 1997/03/26 · arxiv updated 2009/11/30

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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