Vol. 279, No. 1-2, 2015

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On CRDAHA and finite general linear and unitary groups

Bhama Srinivasan

Vol. 279 (2015), No. 1-2, 465–480
Abstract

We show a connection between Lusztig induction operators in finite general linear and unitary groups and parabolic induction in cyclotomic rational double affine Hecke algebras. Two applications are given: an explanation of a bijection result of Broué, Malle and Michel, and some results on modular decomposition numbers of finite general linear groups.

Keywords
CRDAHA, GL$(n,q)$
Mathematical Subject Classification 2010
Primary: 20C33
Milestones
Received: 9 March 2015
Revised: 12 October 2015
Accepted: 12 October 2015
Published: 21 December 2015
Authors
Bhama Srinivasan
Department of Mathematics, Statistics, and Computer Science (MC 249)
University of Illinois at Chicago
851 South Morgan Street
Chicago, IL 60607-7045
United States