On combinatorial algebras generated by three commuting matrices
Commutative Algebra
2025-12-01 v1 Combinatorics
Abstract
Motzkin and Taussky (and independently, Gerstenhaber) proved that the unital algebra generated by a pair of commuting matrices over a field has dimension at most . Since then, it has remained an open problem to determine whether the analogous statement is true for triples of matrices which pairwise commute. We answer this question for combinatorially-motivated classes of such triples.
Cite
@article{arxiv.2511.22092,
title = {On combinatorial algebras generated by three commuting matrices},
author = {Ron Cherny and Tam An Le Quang and Matthew Satriano},
journal= {arXiv preprint arXiv:2511.22092},
year = {2025}
}