A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
- Cite this article as:
- Cherednik, I. Invent Math (1991) 106: 411. doi:10.1007/BF01243918
- 339 Downloads
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.