Summary
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.
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Oblatum 20-XII-1990 & 25-III-1991
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Cherednik, I. A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras. Invent Math 106, 411–431 (1991). https://doi.org/10.1007/BF01243918
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DOI: https://doi.org/10.1007/BF01243918