The anti-spherical Hecke categories for Hermitian symmetric pairs
Bowman, C., De Visscher, M. ORCID: 0000-0003-0617-2818, Hazi, A. & Norton, E. (2025).
The anti-spherical Hecke categories for Hermitian symmetric pairs.
Advances in Mathematics, 480(Part B),
article number 110501.
doi: 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 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.
Publication Type: | Article |
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Additional Information: | © 2025. This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/ |
Publisher Keywords: | Hecke categories, Hermitian symmetric pairs, Combinatorial representation theory, Kazhdan-Lusztig polynomials, Koszul algebras |
Subjects: | Q Science > QA Mathematics |
Departments: | School of Science & Technology School of Science & Technology > Department of Mathematics |
SWORD Depositor: |
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Official URL: https://doi.org/10.1016/j.aim.2025.110501
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