Kostka numbers and Fourier duality
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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Advanced Mathematical Identities
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Algebraic Geometry and Physics
- Publisher
- International Press of Boston
- Volume
- 3
- Issue
- 1
- Pages
- 1–36
- Publication date
- 1 January 2026
- Language
- EN