On the minimal spectral radii of skew-reciprocal integer matrices
Geometric Topology
2025-12-15 v2 Number Theory
Abstract
We determine the minimal spectral radii among all skew-reciprocal integer matrices of a fixed even dimension that are primitive or nonnegative and irreducible. In particular, except for dimension six, we show that each such class of matrices realises smaller spectral radii than the corresponding reciprocal class.
Keywords
Cite
@article{arxiv.2306.17628,
title = {On the minimal spectral radii of skew-reciprocal integer matrices},
author = {Livio Liechti},
journal= {arXiv preprint arXiv:2306.17628},
year = {2025}
}
Comments
16 pages, 3 figures