Bijective maps of infinite triangular and unitriangular matrices preserving commutators
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Publication:2850997
DOI10.1080/03081087.2012.728214zbMath1281.15031OpenAlexW1990761026WikidataQ114100620 ScholiaQ114100620MaRDI QIDQ2850997
Publication date: 1 October 2013
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2012.728214
linear preserverfield automorphisminner automorphismmaps preserving commutatorsinfinite unitriangular matricesdiagonal automorphismgroup of triangular matricesgroup of unitriangular matrices
Algebraic systems of matrices (15A30) Commutator calculus (20F12) Other matrix groups over fields (20H20) Linear preserver problems (15A86)
Related Items
A note on commutators in the group of infinite triangular matrices over a ring, Unnamed Item, Bijections preserving commutators and automorphisms of unitriangular groups, A certain decomposition of infinite invertible matrices over division algebras, Unnamed Item, Commutators and powers of infinite unitriangular matrices., Non-finitary generalizations of nil-triangular subalgebras of Chevalley algebras, Epimorphisms of infinite triangular and unitriangular matrices., On lattices of closed subgroups in the group of infinite triangular matrices over a field., Nonfinitary algebras and their automorphism groups, Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group
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