Character sums associated to finite Coxeter groups

被引：7
|
作者：
Denef, J
Loeser, F
机构：
[1] Catholic Univ Louvain, Dept Math, B-3001 Louvain, Belgium
[2] Ecole Polytech, Ctr Math, URA 169 CNRS, F-91128 Palaiseau, France
[3] Univ Paris 06, Inst Math, UMR 9994 CNRS, F-75252 Paris, France
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 350卷 / 12期
关键词：
character sums; finite fields; Coxeter groups; monodromy; l-adic cohomology;
D O I：
10.1090/S0002-9947-98-02025-X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main result of this paper is a character sum identity for Coxeter arrangements over finite fields which is an analogue of Macdonald's conjecture proved by Opdam.
引用
收藏
页码：5047 / 5066
页数：20
相关论文
共 50 条
  • [1] Character degree sums of finite groups
    Maroti, Attila
    Nguyen, Hung Ngoc
    [J]. FORUM MATHEMATICUM, 2015, 27 (04) : 2453 - 2465
  • [2] Values of character sums for finite unitary groups
    Thiem, Nathaniel
    Vinroot, C. Ryan
    [J]. JOURNAL OF ALGEBRA, 2008, 320 (03) : 1150 - 1173
  • [3] Character degree sums in finite nonsolvable groups
    Magaard, Kay
    Hung P. Tong-Viet
    [J]. JOURNAL OF GROUP THEORY, 2011, 14 (01) : 53 - 57
  • [4] Segal-Bargmann transforms associated with finite Coxeter groups
    Ben Saïd, S
    Orsted, B
    [J]. MATHEMATISCHE ANNALEN, 2006, 334 (02) : 281 - 323
  • [5] Segal-Bargmann transforms associated with finite Coxeter groups
    Salem Ben Saïd
    Bent Ørsted
    [J]. Mathematische Annalen, 2006, 334 : 281 - 323
  • [6] On excess in finite Coxeter groups
    Hart, Sarah B.
    Rowley, Peter J.
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2015, 219 (05) : 1657 - 1669
  • [7] Character Sums in Finite Fields
    Chang, Mei-Chu
    [J]. FINITE FIELDS: THEORY AND APPLICATIONS, 2010, 518 : 83 - 98
  • [8] On character sums in finite fields
    Davenport, H
    [J]. ACTA MATHEMATICA, 1939, 71 (01) : 99 - 121
  • [9] On Character Sums in Finite Fields
    Proskurin N.V.
    [J]. Journal of Mathematical Sciences, 2022, 261 (4) : 571 - 573
  • [10] On the Hurwitz action in finite Coxeter groups
    Baumeister, Barbara
    Gobet, Thomas
    Roberts, Kieran
    Wegener, Patrick
    [J]. JOURNAL OF GROUP THEORY, 2017, 20 (01) : 103 - 131
12345