Classification of external Zonotopal algebras
Combinatorics
2018-03-28 v1 Commutative Algebra
Abstract
In this paper we work with power algebras associated to hyperplane arrangements. There are three main types of these algebras, namely, external, central, and internal zonotopal algebras. We classify all external algebras up to isomorphism in terms of zonotopes. Also, we prove that unimodular external zonotopal algebras are in one to one correspondence with regular matroids. For the case of central algebras we formulate a conjecture.
Cite
@article{arxiv.1803.09966,
title = {Classification of external Zonotopal algebras},
author = {Gleb Nenashev},
journal= {arXiv preprint arXiv:1803.09966},
year = {2018}
}