The realizability problem for the values of the length function of quasi-commuting matrix pairs

DOI10.1007/s10958-016-2940-9zbMath1353.15015OpenAlexW2472673054MaRDI QIDQ308672

Alexander E. Guterman, O. V. Markova

Publication date: 6 September 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2940-9

zbMATH Keywords

matrix algebraquasi-commuting matrices

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Commutativity of matrices (15A27) Algebraic systems of matrices (15A30)

Related Items (1)

Length realizability for pairs of quasi-commuting matrices

Cites Work

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• Lengths of quasi-commutative pairs of matrices
• Commutative matrix subalgebras and length function
• A note on Potter's theorem for quasi-commutative matrices
• An upper bound for the length of a finite-dimensional algebra
• Lengths of finite dimensional representations of PBW algebras
• Potter, Wielandt, and Drazin on the Matrix Equation AB = wBA: New Answers to Old Questions

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