The anti-spherical Hecke categories for Hermitian symmetric pairs
Representation Theory
2025-08-15 v2 Combinatorics
Abstract
We calculate the -Kazhdan--Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke categories categories are standard Koszul. We prove that the combinatorial invariance conjecture can be lifted to the level of graded Morita equivalences between subquotients of these Hecke categories.
Keywords
Cite
@article{arxiv.2208.02584,
title = {The anti-spherical Hecke categories for Hermitian symmetric pairs},
author = {Chris Bowman and Maud De Visscher and Amit Hazi and Emily Norton},
journal= {arXiv preprint arXiv:2208.02584},
year = {2025}
}