Bijective maps on unit upper triangular matrices preserving commutators

DOI10.1080/03081080903190765zbMath1218.15011OpenAlexW2051602179WikidataQ114100621 ScholiaQ114100621MaRDI QIDQ3082851

Huixiang Zhai, Meilin Chen, Dengyin Wang

Publication date: 17 March 2011

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

Full work available at URL: https://doi.org/10.1080/03081080903190765

zbMATH Keywords

matrix groupslinear preserver mapsmaps preserving commutatorsupper triangular unipotent matrices

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Automorphisms of infinite groups (20E36) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Related Items

Bijections preserving commutators and automorphisms of unitriangular groups, Maps Preserving Commutators on the Standard Borel Subgroup of the Unitary Group over a Field, Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group, Bijective maps of infinite triangular and unitriangular matrices preserving commutators

Cites Work

• Linear preserver problems: A brief introduction and some special techniques
• Nonlinear maps preserving solvability
• Linear Preserver Problems
• Maps on upper triangular matrices preserving Lie products
• Nonlinear Lie derivations on upper triangular matrices
• Linear Operations on Matrices
• Chapter 9: miscellaneous preserver problems
• Non-Linear Spectrum-Preserving Maps