Modular generalized Springer correspondence I: the general linear group
Representation Theory
2016-06-27 v3
Abstract
We define a generalized Springer correspondence for the group GL(n) over any field. We also determine the cuspidal pairs, and compute the correspondence explicitly. Finally we define a stratification of the category of equivariant perverse sheaves on the nilpotent cone of GL(n) satisfying the `recollement' properties, and with subquotients equivalent to categories of representations of a product of symmetric groups.
Cite
@article{arxiv.1307.2702,
title = {Modular generalized Springer correspondence I: the general linear group},
author = {Pramod N. Achar and Anthony Henderson and Daniel Juteau and Simon Riche},
journal= {arXiv preprint arXiv:1307.2702},
year = {2016}
}
Comments
v1: 27 pages; v2: 29 pages, minor corrections; v3: 29 pages, final version, to appear in JEMS