SINGULAR POLYNOMIALS FOR FINITE REFLECTION GROUPS

被引：77

作者：

DUNKL, CF ^{[1
]}

DEJEU, MF ^{[1
]}

OPDAM, EM ^{[1
]}

机构：

[1] LEIDEN UNIV,DEPT MATH,2300 RA LEIDEN,NETHERLANDS

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 346卷 / 01期

关键词：

D O I：

10.2307/2154950

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Dunkl operators involve a multiplicity function as parameter. For generic values of this function the simultaneous kernel of these operators, acting on polynomials, is equal to the constants. For special values, however, this kernel is larger. We determine these singular values completely and give partial results on the representations of G that occur in this kernel.

引用

页码：237 / 256

页数：20

共 17 条

[1] FUNDAMENTAL GROUP OF SPACES OF REGULAR ORBITS OF FINITE COMPLEX REFLECTING GROUPS [J].