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

Radha Kessar and Gunter Malle

Vol. 279 (2015), No. 1-2, 269–298

DOI: 10.2140/pjm.2015.279.269

Abstract

We present a unified parametrisation of $\ell$-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