The anti-spherical Hecke categories for Hermitian symmetric pairs

Bowman, Chris, De Visscher, Maud, Hazi, Amit, Norton, Emily (2025) The anti-spherical Hecke categories for Hermitian symmetric pairs. Advances in Mathematics, 480 . ISSN 0001-8708. E-ISSN 1090-2082. (doi:10.1016/j.aim.2025.110501) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:111084)

PDF Author's Accepted Manuscript Language: English Restricted to Repository staff only until 13 August 2027.
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Official URL: https://doi.org/10.1016/j.aim.2025.110501

Abstract

We calculate the p-Kazhdan–Lusztig polynomials for Hermitian symmetric pairs and prove that the corresponding anti-spherical Hecke 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.

Item Type:	Article
DOI/Identification number:	10.1016/j.aim.2025.110501
Uncontrolled keywords:	Hecke categories, Hermitian symmetric pairs, Combinatorial representation theory, Kazhdan-Lusztig polynomials, Koszul algebras
Subjects:	Q Science > QA Mathematics (inc Computing science)
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	There are no former institutional units.
Funders:	University of Kent (https://ror.org/00xkeyj56)
Depositing User:	Emily Norton
Date Deposited:	28 Aug 2025 10:27 UTC
Last Modified:	06 Nov 2025 11:11 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/111084 (The current URI for this page, for reference purposes)

University of Kent Author Information

Norton, Emily.

Creator's ORCID:	https://orcid.org/0000-0002-4358-8663
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