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.
Department of Mathematics,
Statistics, and Computer Science (MC 249)
University of Illinois at Chicago
851 South Morgan Street
Chicago, IL 60607-7045
United States