On triangular similarity of nilpotent triangular matrices

DOI10.1016/j.laa.2020.02.034zbMath1435.15011arXiv2002.10088OpenAlexW3010423300MaRDI QIDQ2309676

Ming-Cheng Tsai, Huajun Huang, Meaza Bogale

Publication date: 1 April 2020

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.10088

zbMATH Keywords

graph operationupper triangular similarityBelitskiĭ's algorithmBelitskiĭ's canonical formgraph of matrixnilpotent triangular matrices

Mathematics Subject Classification ID

Factorization of matrices (15A23) Group actions on varieties or schemes (quotients) (14L30) Canonical forms, reductions, classification (15A21)

Cites Work

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• Upper triangular parts of conjugacy classes of nilpotent matrices with finite number of \(B\)-orbits
• Finite parabolic conjugation on varieties of nilpotent matrices
• Belitskii's canonical forms of upper triangular nilpotent matrices under upper triangular similarity
• Description of \(\mathbf B\)-orbit closures of order 2 in upper-triangular matrices
• Orbits of nilpotent matrices
• A problem on conjugacy of matrices
• Upper triangular similarity of upper triangular matrices
• Canonical matrices for linear matrix problems
• Normal forms in matrix spaces
• B-orbits of square zero in nilradical of the symplectic algebra
• Estimate of the number of one-parameter families of modules over a tame algebra.
• B-orbits of nilpotency order 2 and link patterns
• \(B\)-orbits in solutions to the equation \(X^2=0\) in triangular matrices
• Belitskiĭ's canonical form for \(5\times 5\) upper triangular matrices under upper triangular similarity
• B-Orbits of 2-Nilpotent Matrices and Generalizations
• Parabolic orbits of $2$-nilpotent elements for classical groups

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