Values of the unipotent characters of the Chevalley group of type \(F_ 4\) at unipotent elements
type: Item
instance of: scholarly article
title: Values of the unipotent characters of the Chevalley group of type \(F_ 4\) at unipotent elements
zbMATH Open document ID: 0869.20005
author: Reginaldo M. Marcelo
author: Ken-ichi Shinoda
published in: Tokyo Journal of Mathematics
publication date: 1997-09-03T00:00:00Z
review text: Let \(G\) be a Chevalley group over the finite field \(F_q\) of characteristic \(p\). The authors call the table consisting of the values at unipotent elements of the unipotent characters of \(G\) the unipotent character table of \(G\). The purpose of this paper is to form the unipotent character table of \(G\) of type \(F_4\) in the cases \(p=2\) or 3. If \(G\) has type \(F_4\) and \(p\geq 5\), the problem of completing the unipotent character table of \(G\) is reduced to the determination of the values of one almost character; this was settled independently by \textit{N. Kawanaka} [Invent. Math. 84, 575-616 (1986; Zbl 0596.20028)] and \textit{G. Lusztig} [J. Algebra 104, 146-194 (1986; Zbl 0603.20037)].
Mathematics Subject Classification ID: 20C33
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 880000
zbMATH Keywords: Chevalley groups
zbMATH Keywords: unipotent elements
zbMATH Keywords: unipotent characters
zbMATH Keywords: unipotent character tables
zbMATH Keywords: almost characters
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1270043466
OpenAlex ID: W1965599596
DOI: 10.3836/TJM/1270043466
description: scientific article; zbMATH DE number 880000