Kostka numbers and Fourier duality

2022/06/01 by Finkelberg, Michael, Postnikov, Alexander, Schechtman, Vadim
#20F55 #52C35 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2206.00324

Abstract

We relate the Fourier transform of perverse sheaves smooth along the coordinate hyperplane configuration in a complex vector space to the Deligne-Lusztig duality of unipotent representations of a general linear group over a finite field. A similar relation is established for arbitrary finite Coxeter groups.

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