Computation of simple characters of a Chevalley group
type: Item
instance of: scholarly article
title: Computation of simple characters of a Chevalley group
zbMATH Open document ID: 0616.20017
DOI: 10.1007/BF01933713
author: M. Koppinen
published in: BIT
publication date: 1986-01-01T00:00:00Z
review text: An algorithm for computing weight multiplicities in a simple module of an algebraic Chevalley group over a field of positive characteristic p is described. The method based on a theorem of \textit{G. M. Nielsen} [Dissertation, Univ. Wisconsin (1963)] seems to be essentially more efficient than the one introduced by \textit{N. Burgoyne} [Proc. Symp. Pure Math. 21, 13-17 (1971; Zbl 0256.20010)], especially when p is small. A concrete application is outlined where the group is of type \(G_ 2\) and \(p=5\).
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 3998082
zbMATH Keywords: root system
zbMATH Keywords: Kostant's \({bbfZ}\)-form
zbMATH Keywords: modular representation
zbMATH Keywords: weight multiplicities
zbMATH Keywords: simple module
zbMATH Keywords: Chevalley group
reviewed by: Şerban A. Basarab
MaRDI profile type: Publication
cites work: Cohomology, hyperalgebras, and representations
cites work: Introduction to Lie Algebras and Representation Theory
cites work: Ordinary and modular representations of Chevalley groups
cites work: Darstellungen halbeinfacher Gruppen und kontravariante Formen.
cites work: Q3324142
cites work: Q4930353
full work available at URL: https://doi.org/10.1007/bf01933713
OpenAlex ID: W1983132709
description: scientific article; zbMATH DE number 3998082