Zelevinsky Involution and Degenerate Affine Hecke—Clifford Algebras

被引：0
|
作者：
Zhekun He
Jinkui Wan
机构：
[1] Beijing Institute of Technology,School of Mathematics and Statistics
来源：
Frontiers of Mathematics | 2023年 / 18卷
关键词：
Degenerate affine Hecke—Clifford algebra; Zelevinsky involution; completely splittable representation; skew Young diagram; 20C08; 05E10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We define an analog of Zelevinsky involution on degenerate affine Hecke—Clifford algebras and give an algorithm to compute its action on irreducible completely splittable representations over an algebraically closed field of characteristic not equal to 2 via placed skew shifted Young diagrams.
引用
收藏
页码：47 / 63
页数：16
相关论文
共 50 条
  • [1] Zelevinsky Involution and Degenerate Affine Hecke-Clifford Algebras
    He, Zhekun
    Wan, Jinkui
    [J]. FRONTIERS OF MATHEMATICS, 2023, 18 (01): : 47 - 63
  • [2] DIRAC COHOMOLOGY FOR DEGENERATE AFFINE HECKE-CLIFFORD ALGEBRAS
    Chan, Kei Yuen
    [J]. TRANSFORMATION GROUPS, 2017, 22 (01) : 125 - 162
  • [3] DIRAC COHOMOLOGY FOR DEGENERATE AFFINE HECKE-CLIFFORD ALGEBRAS
    KEI YUEN CHAN
    [J]. Transformation Groups, 2017, 22 : 125 - 162
  • [4] Degenerate affine Hecke–Clifford algebras and type Q Lie superalgebras
    David Hill
    Jonathan R. Kujawa
    Joshua Sussan
    [J]. Mathematische Zeitschrift, 2011, 268 : 1091 - 1158
  • [5] Affine Hecke algebras, cyclotomic Hecke algebras and Clifford theory
    Ram, A
    Ramagge, J
    [J]. TRIBUTE TO C.S. SESHADRI: A COLLECTION OF ARTICLES ON GEOMETRY AND REPRESENTATION THEORY, 2003, : 428 - 466
  • [6] Degenerate affine Hecke-Clifford algebras and type Q Lie superalgebras
    Hill, David
    Kujawa, Jonathan R.
    Sussan, Joshua
    [J]. MATHEMATISCHE ZEITSCHRIFT, 2011, 268 (3-4) : 1091 - 1158
  • [7] CENTRALIZER ALGEBRAS AND DEGENERATE AFFINE HECKE ALGEBRAS
    Ellers, Harald
    Murray, John
    [J]. COMMUNICATIONS IN ALGEBRA, 2014, 42 (03) : 1074 - 1094
  • [8] DEGENERATE AFFINE HECKE ALGEBRAS AND YANGIANS
    DRINFELD, VG
    [J]. FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, 1986, 20 (01) : 58 - 60
  • [9] Hecke-Clifford algebras and spin Hecke algebras I: The classical affine type
    Khongsap, Ta
    Wang, Weiqiang
    [J]. TRANSFORMATION GROUPS, 2008, 13 (02) : 389 - 412
  • [10] Hecke-Clifford Algebras and Spin Hecke Algebras I: The Classical Affine Type
    T A Khongsap
    Weiqiang Wang
    [J]. Transformation Groups, 2008, 13 : 389 - 412
12345