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 contribution||An analogue of the Steinberg character for the general linear group over the integers modulo a prime power|
|Pages (from-to)||368 - 385|
|Number of pages||18|
|Journal||Journal of Algebra|
|Publication status||Published - 1 Dec 2004|
Bibliographical notePublisher: Academic Press
Other identifier: IDS Number: 868RK