Explicit equivariant quantization on coadjoint orbits of GL(n, ℂ)

J. Donin; A. Mudrov

doi:10.1023/A:1021677725539

Explicit equivariant quantization on coadjoint orbits of GL(n, ℂ)

J. Donin, A. Mudrov

Department of Mathematics

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

27 Scopus citations

Abstract

We present an explicit U_h(gl(n, ℂ))-equivariant quantization on coadjoint orbits of GL(n, ℂ). It forms a two-parameter family quantizing the Poisson pair of the reflection equation and Kirillov-Kostant-Souriau brackets.

Original language	English
Pages (from-to)	17-32
Number of pages	16
Journal	Letters in Mathematical Physics
Volume	62
Issue number	1
DOIs	https://doi.org/10.1023/A:1021677725539
State	Published - Oct 2002

Bibliographical note

Funding Information:
?This research is partially supported by the Israel Academy of Sciences grant No. 8007/99-01.

Keywords

Coadjoint orbits
Quantization
Quantum groups

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10.1023/A:1021677725539

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abstract = "We present an explicit Uh(gl(n, ℂ))-equivariant quantization on coadjoint orbits of GL(n, ℂ). It forms a two-parameter family quantizing the Poisson pair of the reflection equation and Kirillov-Kostant-Souriau brackets.",

keywords = "Coadjoint orbits, Quantization, Quantum groups",

author = "J. Donin and A. Mudrov",

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Explicit equivariant quantization on coadjoint orbits of GL(n, ℂ)

Abstract

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Keywords

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