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

Joseph Donin; Vadim Ostapenko

doi:10.1023/A:1021328819094

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

Joseph Donin, Vadim Ostapenko

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We consider a class of homogeneous manifolds including all semisimple coadjoint orbits. We describe manifolds of that class admitting deformation quantizations equivariant under the action of G and the corresponding quantum group. We also classify Poisson brackets relating to such quantizations.

Original language	English
Pages (from-to)	1213-1218
Number of pages	6
Journal	Czechoslovak Journal of Physics
Volume	52
Issue number	11
DOIs	https://doi.org/10.1023/A:1021328819094
State	Published - Nov 2002

Keywords

Equivariant quantization
Poisson brackets
Quantum groups

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10.1023/A:1021328819094

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abstract = "We consider a class of homogeneous manifolds including all semisimple coadjoint orbits. We describe manifolds of that class admitting deformation quantizations equivariant under the action of G and the corresponding quantum group. We also classify Poisson brackets relating to such quantizations.",

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author = "Joseph Donin and Vadim Ostapenko",

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KW - Poisson brackets

KW - Quantum groups

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

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Keywords

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