A computer oriented algorithm for the determination of the dimension and character of a modular irreducible SL(n,K)-module
type: Item
instance of: scholarly article
title: A computer oriented algorithm for the determination of the dimension and character of a modular irreducible SL(n,K)-module
zbMATH Open document ID: 0678.20024
DOI: 10.1016/S0747-7171(89)80047-1
author: Marilena Pittaluga
author: Elisabetta Strickland
published in: Journal of Symbolic Computation
publication date: 1989-01-01T00:00:00Z
review text: Let k be an infinite field of characteristic p. For the case \(p=0\), H. Weyl gave explicit formulae for the dimensions and characters of irreducible SL(n,k)-modules. For \(p>0\), this is an open (and important) problem in the representation theory of algebraic groups. In this paper, the authors give an algorithm towards the computation of the dimensions and characters of the modular, rational irreducible representations of SL(n,k), for \(p>0\). This paper is an important contribution to the representation theory of algebraic groups.
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20-04
zbMATH DE Number: 4110939
zbMATH Keywords: dimensions
zbMATH Keywords: characters
zbMATH Keywords: irreducible SL(n,k)-modules
zbMATH Keywords: representation theory of algebraic groups
zbMATH Keywords: algorithm
reviewed by: V. Lakshmibai
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4110939