Weak generalized lifting property, Bruhat intervals and Coxeter matroids
Combinatorics
2019-04-24 v1
Abstract
We provide a weaker version of the generalized lifting property which holds in complete generality for all finite Coxeter groups, and we use it to show that every parabolic Bruhat interval of a finite Coxeter group is a Coxeter matroid. We also describe some combinatorial properties of the associated polytopes.
Keywords
Cite
@article{arxiv.1904.10208,
title = {Weak generalized lifting property, Bruhat intervals and Coxeter matroids},
author = {Fabrizio Caselli and Michele D'Adderio and Mario Marietti},
journal= {arXiv preprint arXiv:1904.10208},
year = {2019}
}
Comments
13 pages