Subword complexes and 2-truncated cubes
Combinatorics
2020-11-18 v1
Abstract
For a Coxeter element of a finite Coxeter group, we consider a family of subword complexes parameterized by reduced expressions of the longest element. This family generalizes cluster complexes. We describe vertices of these complexes in terms of roots of the corresponding root system. We prove that dual polytopes of all such complexes are combinatorial 2-truncated cubes.
Keywords
Cite
@article{arxiv.2011.05078,
title = {Subword complexes and 2-truncated cubes},
author = {Mikhail Gorsky},
journal= {arXiv preprint arXiv:2011.05078},
year = {2020}
}
Comments
Short announcement note published in 2014. Details will appear in forthcoming work