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Matrix semigroups whose ring commutators have real spectra are realizable (1509.04970v2)
Published 16 Sep 2015 in math.RT
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.
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