The symmetric group representation on cohomology of the regular elements of a maximal torus of the special linear group

Abstract

We give a formula for the character of the representation of the symmetric group $S_n$ on each isotypic component of the cohomology of the set of regular elements of a maximal torus of $S{L}_n$, with respect to the action of the centre.

arXiv comment14 pages; slightly revised in the light of math.RT/0508162