Higher Signs for Coxeter Groups

被引:0
|
作者
Zhiwei Yun
机构
[1] Massachusetts Institute of Technology,Department of Mathematics
关键词
Coxeter groups; Cocycles; Hecke category; 20F55; 14M15;
D O I
10.1007/s42543-020-00029-z
中图分类号
学科分类号
摘要
We define and study cocycles on a Coxeter group in each degree generalizing the sign function. When the Coxeter group is a Weyl group, we explain how the degree three cocycle arises naturally from geometric representation theory.
引用
收藏
页码:285 / 303
页数:18
相关论文
共 50 条
  • [1] COXETER GROUPS ARE NOT HIGHER RANK ARITHMETIC GROUPS
    Singh, Sandip
    MATHEMATICAL RESEARCH LETTERS, 2013, 20 (03) : 567 - 580
  • [2] A DECOMPOSITION THEOREM FOR HIGHER RANK COXETER GROUPS
    Blair, Ryan
    Ottman, Ryan
    COMMUNICATIONS IN ALGEBRA, 2013, 41 (07) : 2508 - 2518
  • [3] Chordal Coxeter groups
    Ratcliffe, John G.
    Tschantz, Steven T.
    GEOMETRIAE DEDICATA, 2008, 136 (01) : 57 - 77
  • [4] Rigidity of Coxeter groups
    Prassidis, S
    Spieler, B
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (06) : 2619 - 2642
  • [5] Chordal Coxeter groups
    John G. Ratcliffe
    Steven T. Tschantz
    Geometriae Dedicata, 2008, 136 : 57 - 77
  • [6] On quotients of Coxeter groups
    Moeller, Philip
    Varghese, Olga
    JOURNAL OF ALGEBRA, 2024, 639 : 516 - 531
  • [7] INCOHERENT COXETER GROUPS
    Jankiewicz, Kasia
    Wise, Daniel T.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2016, 144 (05) : 1857 - 1866
  • [8] The galaxy of Coxeter groups
    Rego, Yuri Santos
    Schwer, Petra
    JOURNAL OF ALGEBRA, 2024, 656 : 406 - 445
  • [9] On the direct indecomposability of infinite irreducible coxeter groups and the isomorphism problem of coxeter groups
    Nuida, K
    COMMUNICATIONS IN ALGEBRA, 2006, 34 (07) : 2559 - 2595
  • [10] Bipolar Coxeter groups
    Caprace, Pierre-Emmanuel
    Przytycki, Piotr
    JOURNAL OF ALGEBRA, 2011, 338 (01) : 35 - 55