Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory
Representation Theory
2024-12-17 v3 Combinatorics
Abstract
We define oriented Temperley--Lieb algebras for classical Hermitian symmetric spaces. This allows us to explain the existence of closed combinatorial formulae for the Kazhdan--Lusztig polynomials for these spaces.
Keywords
Cite
@article{arxiv.2212.09402,
title = {Oriented Temperley--Lieb algebras and combinatorial Kazhdan--Lusztig theory},
author = {Chris Bowman and Maud De Visscher and Niamh Farrell and Amit Hazi and Emily Norton},
journal= {arXiv preprint arXiv:2212.09402},
year = {2024}
}