Matrix semigroups whose ring commutators have real spectra are realizable

DOI10.1007/s00233-016-9797-6OpenAlexW2262667294MaRDI QIDQ1677259

Mitja Mastnak, Heydar Radjavi

Publication date: 10 November 2017

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04970

zbMATH Keywords

realizabilityirreducibilitymatrix groupsigned permutationmatrix semigroupmonomial matrix

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Groups and semigroups of linear operators (47D03)

Cites Work

• Positivity and matrix semigroups
• Realizing irreducible semigroups and real algebras of compact operators
• Structure of finite, minimal nonabelian groups and triangularization.
• Simultaneous triangularization
• The eigenvalue field is a splitting field
• On irreducible algebras spanned by triangularizable matrices
• Limitations on the size of semigroups of matrices
• Representations induced in an invariant subgroup
• Unnamed Item

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