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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. (2024). Oriented Temperley-Lieb algebras and Combinatorial Kazhdan-Lusztig theory. Canadian Journal of Mathematics,

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 article has been accepted for publication in Canadian Journal of Mathematics and it will be available online at: www.cambridge.org/core/journals/canadian-journal-of-mathematics
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology
School of Science & Technology > Mathematics
SWORD Depositor:
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