Special matchings in Coxeter groups
Combinatorics
2016-12-13 v1
Abstract
Special matchings are purely combinatorial objects associated with a partially ordered set, which have applications in Coxeter group theory. We provide an explicit characterization and a complete classification of all special matchings of any lower Bruhat interval. The results hold in any arbitrary Coxeter group and have also applications in the study of the corresponding parabolic Kazhdan--Lusztig polynomials.
Cite
@article{arxiv.1612.03424,
title = {Special matchings in Coxeter groups},
author = {Fabrizio Caselli and Mario Marietti},
journal= {arXiv preprint arXiv:1612.03424},
year = {2016}
}
Comments
19 pages