A UNIFICATION OF KNIZHNIK-ZAMOLODCHIKOV AND DUNKL OPERATORS VIA AFFINE HECKE ALGEBRAS

被引：208

作者：

CHEREDNIK, I

机构：

[1] Research Institute for Mathematical Sciences

来源：

INVENTIONES MATHEMATICAE | 1991年 / 106卷 / 02期

关键词：

D O I：

10.1007/BF01243918

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some generalizations of the Lusztig-Lascoux-Schutzenberger 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.

引用

页码：411 / 431

页数：21

共 24 条

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[2]

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