On the computation of character values for finite Chevalley groups of exceptional type

被引：0

作者：

Geck, Meinolf ^{[1
]}

机构：

[1] Univ Stuttgart, FB Mathematik, Pfaffenwaldring 57, D-70569 Stuttgart, Germany

来源：

PURE AND APPLIED MATHEMATICS QUARTERLY | 2025年 / 21卷 / 01期

关键词：

Groups of Lie type; Deligne-Lusztig characters; character sheaves; GELFAND-GRAEV REPRESENTATIONS; UNIPOTENT CHARACTERS; CONJUGACY CLASSES; REDUCTIVE GROUPS; CHEVIE; ELEMENTS; SHEAVES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss various computational issues around the problem of determining the character values of finite Chevalley groups, in the framework provided by Lusztig's theory of character sheaves. Some of the remaining open questions (concerning certain roots of unity) for the cuspidal unipotent character sheaves of groups of exceptional type are resolved.

引用

页码：275 / 325

页数：51

共 47 条

[41] On the inductive McKay-Navarro condition for finite groups of Lie type in their defining characteristic
Johansson, Birte
JOURNAL OF ALGEBRA, 2022, 610 : 223 - 240
[42] Restrictions of irreducible characters of finite groups of Lie type to derived subgroups and regular semisimple elements
Li, Conghui
COMMUNICATIONS IN ALGEBRA, 2023, 51 (03) : 983 - 990
[43] THE VALUES OF UNIPOTENT CHARACTERS AT UNIPOTENT ELEMENTS FOR GROUPS OF TYPE E8 AND 2E6
Hetz, Jonas
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2025,
[44] Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type III. Semisimple classes in PSLn(q)
Andruskiewitsch, Nicolas
Carnovale, Giovanna
Andres Garcia, Gaston
REVISTA MATEMATICA IBEROAMERICANA, 2017, 33 (03) : 995 - 1024
[45] Global Cayley maps and conjugacy class sizes of maximal unipotent subgroups of finite simple groups of Lie type
Previtali, A.
Weigel, T.
JOURNAL OF PURE AND APPLIED ALGEBRA, 2012, 216 (02) : 255 - 266
[46] Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type VII. Semisimple classes in PSLn(q) and PSp2n(q)
Andruskiewitsch, Nicolas
Carnovale, Giovanna
Garcia, Gaston Andres
JOURNAL OF ALGEBRA, 2024, 639 : 354 - 397
[47] The character table of the finite Chevalley group F4(q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$F_4(q)$$\end{document} for q a power of 2
Meinolf Geck
Archiv der Mathematik, 2023, 121 (5-6) : 669 - 679

← 1 2 3 4 5 →