\(p\)-large representations and asymptotics: a survey and conjectures
type: Item
instance of: scholarly article
title: \(p\)-large representations and asymptotics: a survey and conjectures
zbMATH Open document ID: 0977.20035
DOI: 10.1007/BF02677497
published in: Journal of Mathematical Sciences (New York)
publication date: 2000-09-14T00:00:00Z
review text: This is a survey paper on asymptotic group theory. Here the author discusses the asymptotic properties of irreducible representations of the classical algebraic groups over an algebraically closed field of characteristic \(p>0\) with highest weights large enough with respect to \(p\). Two topics are involved in the paper: one is the behavior of unipotent elements in such representations, and the other is the restrictions of such representations to naturally embedded subgroups. Several conjectures are proposed by the author.
Mathematics Subject Classification ID: 20G05
zbMATH DE Number: 1506091
zbMATH Keywords: asymptotic properties of irreducible representations
zbMATH Keywords: classical algebraic groups
zbMATH Keywords: highest weights
zbMATH Keywords: unipotent elements
Wikidata QID: Q123151812
author: I. D. Suprunenko
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1506091