(Co)Minuscule Hecke categories
Representation Theory
2024-09-25 v1 Combinatorics
Abstract
We determine the p-Kazhdan-Lusztig bases for antispherical (co)minuscule Hecke categories in all characteristics, and for spherical (co)minuscule Hecke categories in good characteristic. This is achieved using geometric and diagrammatic methods. The 2-Kazhdan-Lusztig bases of antispherical cominuscule Hecke categories exhibit extremely pathological behaviour. The notions of p-small resolutions and p-tight elements are introduced and conjecturally explain this behaviour.
Cite
@article{arxiv.2409.16131,
title = {(Co)Minuscule Hecke categories},
author = {Joseph Baine},
journal= {arXiv preprint arXiv:2409.16131},
year = {2024}
}
Comments
45 pages. View in colour