Nazarov, Maxim and Khoroshkin, Sergey (2018) Cherednik algebras and Zhelobenko operators. Transformation Groups. pp. 119-147. ISSN 1083-4362
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.
Metadata
Authors/Creators: |
|
||||||
---|---|---|---|---|---|---|---|
Copyright, Publisher and Additional Information: | © The Author(s) 2017 | ||||||
Dates: |
|
||||||
Institution: | The University of York | ||||||
Academic Units: | The University of York > Faculty of Sciences (York) > Mathematics (York) | ||||||
Funding Information: |
|
||||||
Depositing User: | Pure (York) | ||||||
Date Deposited: | 19 Sep 2017 11:00 | ||||||
Last Modified: | 04 Feb 2024 00:48 | ||||||
Published Version: | https://doi.org/10.1007/S00031-017-9438-5 | ||||||
Status: | Published | ||||||
Refereed: | Yes | ||||||
Identification Number: | https://doi.org/10.1007/S00031-017-9438-5 |