The symmetric group representation on cohomology of the regular elements of a maximal torus of the special linear group
Anthony Henderson
Abstract
We give a formula for the character of the representation of the
Weyl group
Sn on each isotypic component of
the cohomology of the set of regular elements of a maximal torus
of
SLn, with respect to the action of the
centre. As a consequence, we find that this representation is
induced from a cohomology representation of a wreath product
subgroup.
Keywords:
representation, cohomology.
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