Path representation of maximal parabolic Kazhdan-Lusztig polynomials
Combinatorics
2013-01-29 v3 Mathematical Physics
math.MP
Abstract
We provide simple rules for the computation of Kazhdan--Lusztig polynomials in the maximal parabolic case. They are obtained by filling regions delimited by paths with "Dyck strips" obeying certain rules. We compare our results with those of Lascoux and Sch\"utzenberger.
Keywords
Cite
@article{arxiv.1001.1080,
title = {Path representation of maximal parabolic Kazhdan-Lusztig polynomials},
author = {K. Shigechi and P. Zinn-Justin},
journal= {arXiv preprint arXiv:1001.1080},
year = {2013}
}
Comments
v3: fixed proof of lemma 2