Vol. 279, No. 1-2, 2015

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Lusztig induction and $\ell$-blocks of finite reductive groups

Radha Kessar and Gunter Malle

Vol. 279 (2015), No. 1-2, 269–298
Abstract

We present a unified parametrisation of -blocks of quasisimple finite groups of Lie type in nondefining characteristic via Lusztig’s induction functor in terms of e-Jordan-cuspidal pairs and e-Jordan quasicentral cuspidal pairs.

Keywords
finite reductive groups, $\ell$-blocks, $e$-Harish-Chandra series, Lusztig induction
Mathematical Subject Classification 2010
Primary: 20C15, 20C20, 20C33
Milestones
Received: 8 June 2015
Revised: 13 September 2015
Accepted: 13 September 2015
Published: 21 December 2015
Authors
Radha Kessar
Department of Mathematical Sciences
City University London
Northampton Square
London EC1V 01B
United Kingdom
Gunter Malle
Fachbereich Mathematik
TU Kaiserslautern
Postfach 3049
D-67653 Kaiserslautern
Germany