Length realizability for pairs of quasi-commuting matrices

A. E. Guterman; O. V. Markova; V. Mehrmann

doi:10.1016/j.laa.2018.06.020

Length realizability for pairs of quasi-commuting matrices

A. E. Guterman, O. V. Markova, V. Mehrmann

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	135-154
Number of pages	20
Journal	Linear Algebra and Its Applications
Volume	568
DOIs	https://doi.org/10.1016/j.laa.2018.06.020
State	Published - 1 May 2019
Externally published	Yes

Keywords

Finite-dimensional algebras
Lengths of sets and algebras
Quasi-commuting matrices

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2018.06.020

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title = "Length realizability for pairs of quasi-commuting matrices",

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

keywords = "Finite-dimensional algebras, Lengths of sets and algebras, Quasi-commuting matrices",

author = "Guterman, \{A. E.\} and Markova, \{O. V.\} and V. Mehrmann",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2019",

month = may,

day = "1",

doi = "10.1016/j.laa.2018.06.020",

language = "الإنجليزيّة",

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journal = "Linear Algebra and Its Applications",

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publisher = "Elsevier Inc.",

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T1 - Length realizability for pairs of quasi-commuting matrices

AU - Guterman, A. E.

AU - Markova, O. V.

AU - Mehrmann, V.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - For the pairs of quasi-commuting matrices we completely characterize natural numbers that can be realized as the lengths of these pairs of generators.

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

KW - Finite-dimensional algebras

KW - Lengths of sets and algebras

KW - Quasi-commuting matrices

UR - http://www.scopus.com/inward/record.url?scp=85048890519&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2018.06.020

DO - 10.1016/j.laa.2018.06.020

M3 - مقالة

SN - 0024-3795

VL - 568

SP - 135

EP - 154

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Length realizability for pairs of quasi-commuting matrices

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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