More on matrix semigroup homomorphisms
type: Item
instance of: scholarly article
title: More on matrix semigroup homomorphisms
zbMATH Open document ID: 0998.15017
DOI: 10.1016/S0024-3795(01)00503-1
published in: Linear Algebra and its Applications
publication date: 2002-06-24T00:00:00Z
review text: The author studies non-degenerate irreducible homomorphisms from the multiplicative semigroup of all \(2\times 2\)-complex matrices to the semigroup of \(n\times n\)-complex matrices. If such a homomorphism maps a cyclic unipotent to a cyclic unipotent, it is the composition of a symmetric power, a field homomorphism used entrywise, and a matrix conjugation. In the case \(n=4\) all non-degenerate irreducible homomorphisms are characterized.
reviewed by: Rodica Covaci
Mathematics Subject Classification ID: 15A30
Mathematics Subject Classification ID: 15A04
zbMATH DE Number: 1758609
zbMATH Keywords: matrix semigroup
zbMATH Keywords: semigroup homomorphism
zbMATH Keywords: multiplicative map
zbMATH Keywords: irreducibility
zbMATH Keywords: complex matrices
author: Damjana Kokol Bukovšek
MaRDI profile type: Publication
cites work: Q3992445
cites work: Q4002278
cites work: Matrix semigroup homomorphisms from dimension two to three
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cites work: Über die linearen homogenen geometrischen Objekte des Typus [m, n, 1], wo m ≤ n ist
cites work: Homomorphisms from \({\mathbb {C}}^{*}\) into \(GL_n(\mathbb C)\)
cites work: Simultaneous triangularization
description: scientific article; zbMATH DE number 1758609