Two types of Poisson pencils and related quantum objects
q-alg
2008-02-03 v1 Quantum Algebra
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 is constructed. A twisted version of quantum mechanics is discussed.
Cite
@article{arxiv.q-alg/9703042,
title = {Two types of Poisson pencils and related quantum objects},
author = {D. Gurevich and J. Donin and V. Rubstov},
journal= {arXiv preprint arXiv:q-alg/9703042},
year = {2008}
}
Comments
23 pages Latex, to appear in Lie goups, their representations, generalizations and applications, Kluwer