An analogue of the Steinberg character for the general linear group over the integers modulo a prime power

Peter S Campbell

Research output: Contribution to journalArticle (Academic Journal)peer-review

2 Citations (Scopus)

Abstract

Lees, and independently Hill, described an irreducible character of GL(n) (Z/p(h)Z) for h > 1, which is an analogue of the Steinberg character in the h = 1 case. We give a new construction of this analogue. In particular, we prove that it is induced from the Steinberg character of an appropriate parabolic subgroup. Further, we use this to show that it has a characterisation identical to that given by Curtis to the Steinberg character. (C) 2004 Elsevier Inc. All rights reserved.
Translated title of the contributionAn analogue of the Steinberg character for the general linear group over the integers modulo a prime power
Original languageEnglish
Pages (from-to)368 - 385
Number of pages18
JournalJournal of Algebra
Volume282 (1)
DOIs
Publication statusPublished - 1 Dec 2004

Bibliographical note

Publisher: Academic Press
Other identifier: IDS Number: 868RK

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