A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
A unification of Knizhnik-Zamolodchikov and Dunkl operators via affine Hecke algebras
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DOI：
10.1007/bf01243918
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发表时间：
1991-12
影响因子：
3.1
通讯作者：
I. Cherednik
中科院分区：
文献类型：
--
作者：
I. Cherednik
讨论仿射Hecke代数的lusztig - lascoux - sch<s:1>岑贝格算子的一些推广。作为推论，我们得到了仿射Hecke代数到其简并版本的Lusztig同构，Dunkl算子的“自然”解释，以及从二维共形场理论中推广Dunkl算子和Knizhnik-Zamolodchikov算子的一类新的微分-差分算子。
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.