Oriented Temperley-Lieb algebras and combinatorial Kazhdan-Lusztig theory

authored by
Chris Bowman, Maud De Visscher, Niamh Farrell, Amit Hazi, Emily Norton
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.

Organisation(s)
Institute of Algebra, Number Theory and Discrete Mathematics
External Organisation(s)
Univ. York, Dep. Comput. Sci., Non-Stand. Comput. Group
City University London
University of Kent
Type
Article
Journal
Canadian journal of mathematics
ISSN
0008-414X
Publication date
14.01.2025
Publication status
E-pub ahead of print
Peer reviewed
Yes
ASJC Scopus subject areas
General Mathematics
Electronic version(s)
https://doi.org/10.48550/arXiv.2212.09402 (Access: Open)
https://doi.org/10.4153/S0008414X24001032 (Access: Open)