Simplicial arrangements on convex cones
Combinatorics
2015-06-01 v1
Abstract
We introduce the notion of a Tits arrangement on a convex open cone as a special case of (infinite) simplicial arrangements. Such an object carries a simplicial structure similar to the geometric representation of Coxeter groups. The standard constructions of subarrangements and restrictions, which are known in the case of finite hyperplane arrangements, work as well in this more general setting.
Cite
@article{arxiv.1505.08024,
title = {Simplicial arrangements on convex cones},
author = {Michael Cuntz and Bernhard Mühlherr and Christian J. Weigel},
journal= {arXiv preprint arXiv:1505.08024},
year = {2015}
}
Comments
45 pages, 4 figures