Isolated blocks in finite classical groups
type: Item
instance of: scholarly article
title: Isolated blocks in finite classical groups
zbMATH Open document ID: 0901.20032
author: Bhama Srinivasan
published in: Journal of Algebra
publication date: 1998-09-29T00:00:00Z
review text: The author classifies the isolated \(l\)-blocks of \(G=\text{Sp}(2n,q)\) or \(\text{SO}^\pm(2n,q)\) (\(q\) odd, \(l\) odd). The author proves an analogue of the classification theorem for unipotent blocks of \textit{M. Broué, G. Malle}, and \textit{J. Michel} [Astérisque 212, 7-92 (1993; Zbl 0843.20012)]. The author shows that an isolated block \(B\) associated with \((s)\) corresponds to a \(d\)-cuspidal pair \((L,\gamma)\) in the sense that the characters in \(B\) which correspond to \((s)\) under the Jordan decomposition are precisely the constitutents of \(R^G_L(\gamma)\). The author also proves a generalized or \(d\)-Harish-Chandra theory.
reviewed by: Ye Jiachen
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20C20
Mathematics Subject Classification ID: 20C33
Mathematics Subject Classification ID: 20G40
zbMATH DE Number: 941273
zbMATH Keywords: algebraic groups
zbMATH Keywords: finite classical groups
zbMATH Keywords: isolated blocks
zbMATH Keywords: cuspidal pairs
zbMATH Keywords: characters
MaRDI profile type: Publication
full work available at URL: jabr.1996.0291
OpenAlex ID: W4213221805
DOI: 10.1006/JABR.1996.0291
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description: scientific article; zbMATH DE number 941273