This essay concerns the unipotent representations of the finite
general linear groups GL (q). An irreducible unipotent representation is, n
by definition, a composition factor of the permutation representation of
GL (q) on a Borel subgroup, and the ordinary irreducible unipotent n
ropresentations may be indexed by partitions A of n, as may the ordinary
Lrruducible representations of the symmetric group G
n•
The remarkable
r.ature is that the representation theory of over an arbitrary field
n
dppuurs to be the case "q = 1" ,of the subject we study here.