A finiteness lemma, brauer's theorem and other iIrreducibility results

DOI10.1080/00927879908826433zbMath0920.20058OpenAlexW1996750455MaRDI QIDQ4238613

Heydar Radjavi, Mehdi Radjabalipour

Publication date: 20 September 1999

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826433

zbMATH Keywords

idempotentsfinite subgroupssemigroups of matricesspectra of elementsBrauer's minimal representation field theoremirreducible subsemigroups

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (10)

On semigroups of matrices with traces in a subfield ⋮ On \(F\)-algebras of algebraic matrices over a subfield \(F\) of the center of a division ring ⋮ Ranges of vector states on irreducible operator semigroups ⋮ On Rings of Matrices Over Division Rings ⋮ A generalization of Brauer's theorem on splitting fields to semigroups ⋮ On irreducible algebras spanned by triangularizable matrices ⋮ On groups and semigroups of matrices with spectra in a finitely generated field ⋮ Operator semigroups with quasinilpotent commutators ⋮ On irreducible semigroups of matrices with traces in a subfield ⋮ Reduction theorems for groups of matrices

Cites Work

• Matrix groups with positive spectra
• On semigroups of matrices with traces in a subfield
• Permutability of characters on algebras
• Über nilpotente Unterringe
• On the geometry of certain isospectral sets in the full Kostant-Toda lattice
• On certain concepts in the theory of algebraic matric groups
• On the characters of finite groups
• A Trace Condition Equivalent to Simultaneous Triangularizability
• Structure of algebras
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