Length realizability for pairs of quasi-commuting matrices

For the pairs of quasi-commuting matrices we completely characterize natural numbers that can be realized as the lengths of these pairs of generators.

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Bibliographic Details
Published inLinear algebra and its applications Vol. 568; pp. 135 - 154
Main Authors Guterman, A.E., Markova, O.V., Mehrmann, V.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Inc 01.05.2019
American Elsevier Company, Inc
Subjects
Finite-dimensional algebras
Lengths of sets and algebras
Linear algebra
Number theory
Quasi-commuting matrices
Realizability
15A30
Quasi-commuting matrices
Finite-dimensional algebras
16S50
Lengths of sets and algebras
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Summary:For the pairs of quasi-commuting matrices we completely characterize natural numbers that can be realized as the lengths of these pairs of generators.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2018.06.020