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

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

2003-11-29

arxiv.org/abs/math/0312006v3

J. Aust. Math. Soc. 84 (2008), no. 1, pp. 85-98

Mathematics

Representation Theory

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

Scientific paper

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 $SL_n$, with respect to the action of the
centre.

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