Equivariant quantization on quotients of simple Lie groups by reductive subgroups of maximal rank
Quantum Algebra
2009-11-07 v1 Symplectic Geometry
Abstract
We consider a class of homogeneous manifolds including all semisimple coadjoint orbits. We describe manifolds of that class admitting deformation q uantizations equivariant under the action of and the corresponding quantum group. We also classify Poisson brackets relating to such quantizations.
Keywords
Cite
@article{arxiv.math/0210188,
title = {Equivariant quantization on quotients of simple Lie groups by reductive subgroups of maximal rank},
author = {Joseph Donin and Vadim Ostapenko},
journal= {arXiv preprint arXiv:math/0210188},
year = {2009}
}