Two types of Poisson pencils and related quantum objects
D. Gurevich, J. Donin, V. Rubstov
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.
Create a lesson
Related papers
Coherence Constraints for Operads, Categories and Algebras
Martin Markl, Steve Shnider
Affine Sergeev Algebra and q-Analogues of the Young Symmetrizers for Projective Representations of the Symmetric Group
Andrew Jones, Maxim Nazarov
Nonsymmetric Koornwinder polynomials and duality
Siddhartha Sahi
Capelli Identities for Classical Lie Algebras
Alexander Molev, Maxim Nazarov
On modules associated to coalgebra Galois extensions
Tomasz Brzezinski
Web bases for sl(3) are not dual canonical
Mikhail Khovanov, Greg Kuperberg