SINGULAR POLYNOMIALS FOR FINITE REFLECTION GROUPS

被引:76
作者
DUNKL, CF [1 ]
DEJEU, MF [1 ]
OPDAM, EM [1 ]
机构
[1] LEIDEN UNIV,DEPT MATH,2300 RA LEIDEN,NETHERLANDS
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.
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页码:237 / 256
页数:20
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