Equivariant quantization on quotients of simple Lie groups by reductive subgroups of maximal rank

Details Equivariant quantization on quotients of simple Lie groups by reductive subgroups of maximal rank Equivariant quantization on quotients of simple Lie groups by reductive subgroups of maximal rank

2002-10-13

arxiv.org/abs/math/0210188v1

Mathematics

Quantum Algebra

Scientific paper

10.1023/A:1021328819094

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 $G$ and the corresponding quantum
group. We also classify Poisson brackets relating to such quantizations.

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