Bruhat intervals, subword complexes and brick polyhedra for finite Coxeter groups
Combinatorics
2021-03-08 v1
Abstract
We study the interplay between the discrete geometry of Bruhat poset intervals and subword complexes of finite Coxeter systems. We establish connections between the cones generated by cover labels for Bruhat intervals and of root configurations for subword complexes, culminating in the notion of brick polyhedra for general subword complexes.
Keywords
Cite
@article{arxiv.2103.03715,
title = {Bruhat intervals, subword complexes and brick polyhedra for finite Coxeter groups},
author = {Dennis Jahn and Christian Stump},
journal= {arXiv preprint arXiv:2103.03715},
year = {2021}
}
Comments
26 pages, multiple sketches and examples