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arXiv · 2206.00324

Kostka numbers and Fourier duality

Michael Finkelberg·Alexander Postnikov·Vadim Schechtman
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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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Michael Finkelberg, Alexander Postnikov, Vadim Schechtman. 2022-06-01. Kostka numbers and Fourier duality. https://arxiv.org/abs/2206.00324

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