Bowman, C., de Visscher, M., Farrell, N. et al. (2 more authors) (2026) Oriented Temperley–Lieb algebras and combinatorial Kazhdan–Lusztig theory. Canadian Journal of Mathematics, 78 (2). pp. 651-693. ISSN: 0008-414X
Abstract
We define oriented Temperley–Lieb algebras for Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan–Lusztig polynomials for these spaces.
Metadata
| Item Type: | Article |
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| Authors/Creators: |
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| Copyright, Publisher and Additional Information: | © The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited. |
| Keywords: | Hecke categories; Temperley-Lieb algebras; Kazhdan-Lusztig polynomials |
| Dates: |
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| Institution: | The University of Leeds |
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) |
| Date Deposited: | 15 Apr 2026 14:54 |
| Last Modified: | 15 Apr 2026 14:54 |
| Published Version: | https://www.cambridge.org/core/journals/canadian-j... |
| Status: | Published |
| Publisher: | Cambridge University Press |
| Identification Number: | 10.4153/s0008414x24001032 |
| Related URLs: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:239911 |
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