Transformation Groups

, Volume 23, Issue 1, pp 119–147 | Cite as


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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 Open image in new window . To establish the correspondence, we use the functor of Arakawa, Suzuki and Tsuchiya which maps certain Open image in new window -modules to modules of the Cherednik algebra.


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Authors and Affiliations

  1. 1.Institute for Theoretical and Experimental PhysicsMoscowRussia
  2. 2.Higher School of EconomicsNational Research UniversityMoscowRussia
  3. 3.Department of MathematicsUniversity of YorkYorkUK

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