Geodesic
Classification of external zonotopal algebras
Gleb Nenashev1
1Massachusetts Institute of Technology
The electronic journal of combinatorics, Tome 26 (2019) no. 1

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Zbl arXiv
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.
DOI : 10.37236/8299
Classification : 05B35, 05C05, 05E40, 13P99

Gleb Nenashev  1

1 Massachusetts Institute of Technology 
Gleb Nenashev. Classification of external zonotopal algebras. The electronic journal of combinatorics, Tome 26 (2019) no. 1. doi: 10.37236/8299
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