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