Cherednik algebras and Zhelobenko operators

Maxim Nazarov; Sergey Khoroshkin

doi:10.1007/S00031-017-9438-5

Cherednik algebras and Zhelobenko operators

Maxim Nazarov, Sergey Khoroshkin

Mathematics

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

Abstract

We study canonical intertwining operators between induced modules of the trigonometric Cherednik algebra. We demonstrate that these operators correspond to the Zhelobenko operators for the affine Lie algebra of type A. To establish the correspondence, we use the functor of Arakawa, Suzuki and Tsuchiya which maps certain modules of the affine Lie algebra to modules of the Cherednik algebra.

Original language	English
Pages (from-to)	119-147
Number of pages	28
Journal	Transformation Groups
Volume	23
Issue number	1
Early online date	18 Sept 2017
DOIs	https://doi.org/10.1007/S00031-017-9438-5
Publication status	Published - Mar 2018

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10.1007/S00031-017-9438-5

s00031-017-9438-5
© The Author(s) 2017
Final published version, 278 KBLicence: CC BY

Maxim L Nazarov
- maxim.nazarovyork.acuk
- Mathematics - Professor
Person: Academic

Cherednik Algebras and Affine Lie Algebras
Nazarov, M. L.
1/10/16 → 31/03/19
Project: Research project (funded) › Research
Cherednik Algebras at Infinity
Nazarov, M. L. (Principal investigator) & Balagovic, M. (Researcher)
EPSRC
1/10/11 → 31/10/14
Project: Research project (funded) › Research

Cite this

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abstract = "We study canonical intertwining operators between induced modules of the trigonometric Cherednik algebra. We demonstrate that these operators correspond to the Zhelobenko operators for the affine Lie algebra of type A. To establish the correspondence, we use the functor of Arakawa, Suzuki and Tsuchiya which maps certain modules of the affine Lie algebra to modules of the Cherednik algebra. ",

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AB - We study canonical intertwining operators between induced modules of the trigonometric Cherednik algebra. We demonstrate that these operators correspond to the Zhelobenko operators for the affine Lie algebra of type A. To establish the correspondence, we use the functor of Arakawa, Suzuki and Tsuchiya which maps certain modules of the affine Lie algebra to modules of the Cherednik algebra.

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Cherednik algebras and Zhelobenko operators

Abstract

Bibliographical note

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Profiles

Maxim L Nazarov

Projects

Cherednik Algebras and Affine Lie Algebras

Cherednik Algebras at Infinity

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