Inventiones mathematicae

, Volume 106, Issue 1, pp 411–431

A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras

  • Ivan Cherednik

DOI: 10.1007/BF01243918

Cite this article as:
Cherednik, I. Invent Math (1991) 106: 411. doi:10.1007/BF01243918


Some generalizations of the Lusztig-Lascoux-Schützenberger operators for affine Hecke algebras are considered. As corollaries we obtain Lusztig's isomorphisms from affine Hecke algebras to their degenerate versions, a “natural” interpretation of the Dunkl operators and a new class of differential-difference operators generalizing Dunkl's ones and the Knizhnik-Zamolodchikov operators from the two dimensional conformal field theory.

Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • Ivan Cherednik
    • 1
  1. 1.Research Institute for Mathematical SciencesKyoto 606Japan
  2. 2.A.N. Belozersky Lab., Bldg. “A”Moscow State UniversityMoscowUSSR