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Oriented Temperley-Lieb algebras and Combinatorial Kazhdan-Lusztig theory

Bowman, C., De Visscher, M. ORCID: 0000-0003-0617-2818, Farrell, N. , Hazi, A. & Norton, E. (2025). Oriented Temperley-Lieb algebras and Combinatorial Kazhdan-Lusztig theory. Canadian Journal of Mathematics, pp. 1-43. doi: 10.4153/S0008414X24001032

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.

Publication Type: Article
Additional Information: 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. © The Author(s), 2025. Published by Cambridge University Press on behalf of Canadian Mathematical Society
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology
School of Science & Technology > Mathematics
SWORD Depositor:
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