Work

Kostka numbers and Fourier duality

Year: 2026

Type: article

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.

Source: Algebraic Geometry and Physics

DOI: 10.4310/agp.260621121352

Authors: Michael Finkelberg, Alexander Postnikov, Vadim Schechtman

Institutions: National Research University Higher School of Economics, Hebrew University of Jerusalem, Massachusetts Institute of Technology, Université Toulouse III - Paul Sabatier, The University of Tokyo, Institut de Mathématiques de Toulouse

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4320167476

FWCI:

Cites:

Cited by: 1

Related to: 10