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 . To establish the correspondence, we use the functor of Arakawa, Suzuki and Tsuchiya which maps certain -modules to modules of the Cherednik algebra.
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KHOROSHKIN, S., NAZAROV, M. CHEREDNIK ALGEBRAS AND ZHELOBENKO OPERATORS. Transformation Groups 23, 119–147 (2018). https://doi.org/10.1007/s00031-017-9438-5
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DOI: https://doi.org/10.1007/s00031-017-9438-5