Kostka numbers and Fourier duality
Representation Theory
2022-06-02 v1
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.
Cite
@article{arxiv.2206.00324,
title = {Kostka numbers and Fourier duality},
author = {Michael Finkelberg and Alexander Postnikov and Vadim Schechtman},
journal= {arXiv preprint arXiv:2206.00324},
year = {2022}
}
Comments
30 pages