Mirabolic affine Grassmannian and character sheaves
Algebraic Geometry
2026-04-21 v3 Combinatorics
Abstract
We compute the Frobenius trace functions of mirabolic character sheaves defined over a finite field. The answer is given in terms of the character values of general linear groups over the finite field, and the structure constants of multiplication in the mirabolic Hall-Littlewood basis of symmetric functions, introduced by Shoji.
Keywords
Cite
@article{arxiv.0802.1652,
title = {Mirabolic affine Grassmannian and character sheaves},
author = {Michael Finkelberg and Victor Ginzburg and Roman Travkin},
journal= {arXiv preprint arXiv:0802.1652},
year = {2026}
}
Comments
v2: 22 pages. The final version published in Selecta Math. v3: Propositions 2 and 3 corrected