Hecke-Clifford Algebras and Spin Hecke Algebras I: The Classical Affine Type

被引：0
|
作者：
T A Khongsap
Weiqiang Wang
机构：
[1] University of Virginia,Department of Mathematics
来源：
Transformation Groups | 2008年 / 13卷
关键词：
Symmetric Group; Weyl Group; Double Cover; Geometric Realization; Projective Representation;
D O I：
暂无
中图分类号：
学科分类号：
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
收藏
页码：389 / 412
页数：23
相关论文
共 50 条
  • [31] On Representations of Affine Hecke Algebras of Type B
    Vanessa Miemietz
    Algebras and Representation Theory, 2008, 11
  • [32] Affine Hecke algebras and their representations
    Solleveld, Maarten
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2021, 32 (05): : 1005 - 1082
  • [33] REPRESENTATIONS OF AFFINE HECKE ALGEBRAS
    LUSZTIG, G
    ASTERISQUE, 1989, (171-72) : 73 - 84
  • [34] Hecke algebras of classical type and their representation type
    Ariki, S
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2005, 91 : 355 - 413
  • [35] CENTRALIZER ALGEBRAS AND DEGENERATE AFFINE HECKE ALGEBRAS
    Ellers, Harald
    Murray, John
    COMMUNICATIONS IN ALGEBRA, 2014, 42 (03) : 1074 - 1094
  • [36] DOUBLE AFFINE HECKE ALGEBRAS FOR THE SPIN SYMMETRIC GROUP
    Wang, Weiqiang
    MATHEMATICAL RESEARCH LETTERS, 2009, 16 (5-6) : 1071 - 1085
  • [37] The modular branching rule for affine Hecke algebras of type A
    Ariki, Susumu
    Jacon, Nicolas
    Lecouvey, Cedric
    ADVANCES IN MATHEMATICS, 2011, 228 (01) : 481 - 526
  • [38] Canonical bases and affine Hecke algebras of type B
    M. Varagnolo
    E. Vasserot
    Inventiones mathematicae, 2011, 185 : 593 - 693
  • [39] Canonical bases and affine Hecke algebras of type D
    Shan, P.
    Varagnolo, M.
    Vasserot, E.
    ADVANCES IN MATHEMATICS, 2011, 227 (01) : 267 - 291
  • [40] Two maps on affine type A crystals and Hecke algebras
    Jacon, Nicolas
    ELECTRONIC JOURNAL OF COMBINATORICS, 2021, 28 (02):
12345