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

J. Donin, A. Mudrov

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28 Scopus citations

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.

Original languageEnglish
Pages (from-to)17-32
Number of pages16
JournalLetters in Mathematical Physics
Volume62
Issue number1
DOIs
StatePublished - Oct 2002

Bibliographical note

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

Funding

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

FundersFunder number
Academy of Leisure Sciences8007/99-01

    Keywords

    • Coadjoint orbits
    • Quantization
    • Quantum groups

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