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Algebra Seminar
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Anthony Henderson
University of Sydney

Polynomial functors and representations of wreath products

Friday 15th August, 12:05-12:55pm, Carslaw 373.

Any reflection group has a graded representation on the cohomology of the corresponding hyperplane complement - the character of this representation has been calculated in most cases by Gus Lehrer. I will discuss an alternative approach in the case where the group is the wreath product of a symmetric group and a cyclic group. This uses a generalization of the classical link between composition of polynomial functors and plethysm.