Two types of Poisson pencils and related quantum objects
classification
q-alg
math.QA
keywords
quantumpencilspoissonrelatedtypesalgebrasclassicalconnected
read the original 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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