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Oriented Temperley–Lieb algebras and combinatorial Kazhdan–Lusztig theory

Bowman, Chris, de Visscher, Maud, Farrell, Niamh, Hazi, Amit, Norton, Emily (2025) Oriented Temperley–Lieb algebras and combinatorial Kazhdan–Lusztig theory. Canadian Journal of Mathematics, . pp. 1-43. ISSN 0008-414X. (doi:10.4153/S0008414X24001032) (KAR id:111098)

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.

Item Type: Article
DOI/Identification number: 10.4153/S0008414X24001032
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: 29 Aug 2025 09:35 UTC
Last Modified: 03 Sep 2025 02:52 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/111098 (The current URI for this page, for reference purposes)

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