Quantum coadjoint orbits in gl(n)

Joseph Donin; Andrey Mudrov

doi:10.1023/A:1021376702256

Quantum coadjoint orbits in gl(n)

Joseph Donin
, Andrey Mudrov

Department of Mathematics

Bar-Ilan University

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

1 Scopus citations

Abstract

We present a double U_h(gl(n, ℂ))-equivariant quantization on semisimple coadjoint orbits of the group GL(n, ℂ) as a quotient of the extended reflection equation algebra by relations which are given explicitly. Such a quantization is a two-parameter family including an explicit GL(n)-equivariant quantization of the Kirillov-Kostant-Souriau Poisson bracket.

Original language	English
Pages (from-to)	1207-1212
Number of pages	6
Journal	Czechoslovak Journal of Physics
Volume	52
Issue number	11
DOIs	https://doi.org/10.1023/A:1021376702256
State	Published - Nov 2002

Keywords

Coadjoint orbits
Equivariant quantization
Quantum groups

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10.1023/A:1021376702256

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abstract = "We present a double Uh(gl(n, ℂ))-equivariant quantization on semisimple coadjoint orbits of the group GL(n, ℂ) as a quotient of the extended reflection equation algebra by relations which are given explicitly. Such a quantization is a two-parameter family including an explicit GL(n)-equivariant quantization of the Kirillov-Kostant-Souriau Poisson bracket.",

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AB - We present a double Uh(gl(n, ℂ))-equivariant quantization on semisimple coadjoint orbits of the group GL(n, ℂ) as a quotient of the extended reflection equation algebra by relations which are given explicitly. Such a quantization is a two-parameter family including an explicit GL(n)-equivariant quantization of the Kirillov-Kostant-Souriau Poisson bracket.

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KW - Quantum groups

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Quantum coadjoint orbits in gl(n)

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