Matrix semigroups whose ring commutators have real spectra are realizable
Representation Theory
2016-04-28 v2
Abstract
We study matrix semigroups in which ring commutators have real spectra. We prove that irreducible semigroups with this property are simultaneously similar to semigroups of real-entried matrices. We also obtain a structure theorem for compact groups satisfying the property under investigation.
Cite
@article{arxiv.1509.04970,
title = {Matrix semigroups whose ring commutators have real spectra are realizable},
author = {Mitja Mastnak and Heydar Radjavi},
journal= {arXiv preprint arXiv:1509.04970},
year = {2016}
}