Generalized graded Hecke algebras of types B and D

被引：2

作者：

Dezélée, C ^{[1
]}

机构：

[1] Univ Brest, Dept Math, F-29285 Brest, France

来源：

COMMUNICATIONS IN ALGEBRA | 2006年 / 34卷 / 06期

关键词：

Dunkl operators; Hecke algebras; principal series; Weyl groups;

D O I：

10.1080/00927870600549618

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a root system of type B we study an algebra similar to a graded Hecke algebra, isomorphic to a subalgebra of the rational Cherednik algebra. We introduce principal series modules over it and prove an irreducibility criterion for these modules. We deduce similar results for an algebra associated to a root system of type D .

引用

页码：2105 / 2128

页数：24

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