Hecke-Clifford algebras and spin Hecke algebras I: The classical affine type

被引：20

作者：

Khongsap, Ta ^{[1
]}

Wang, Weiqiang ^{[1
]}

机构：

[1] Univ Virginia, Dept Math, Charlottesville, VA 22904 USA

来源：

TRANSFORMATION GROUPS | 2008年 / 13卷 / 02期

关键词：

D O I：

10.1007/s00031-008-9012-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Associated to the classical Weyl groups, we introduce the notion of degenerate spin affine Hecke algebras and affine Hecke-Clifford algebras. For these algebras, we establish the PBW properties, formulate the intertwiners and describe the centres. We further develop connections of these algebras with the usual degenerate (i.e., graded) affine Hecke algebras of Lusztig by introducing a notion of degenerate covering affine Hecke algebras.

引用

页码：389 / 412

页数：24

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