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Cherednik algebras and Zhelobenko operators
Transformation Groups. 2018. Vol. 23. No. 1. P. 119-147.
Khoroshkin S. M., Nazarov M.
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.
Priority areas:
mathematics
Language:
English
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