Nonlinear maps preserving solvability

DOI10.1016/j.jalgebra.2004.06.016zbMath1068.17007OpenAlexW2094526033MaRDI QIDQ1763905

Heydar Radjavi, Peter Šemrl

Publication date: 22 February 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.06.016

zbMATH Keywords

matrix algebrasolvabilityLie algebraLie subalgebratriangularizabilitybijective latticebijective nonlinear map

Mathematics Subject Classification ID

Lie algebras of Lie groups (22E60) Algebraic systems of matrices (15A30) Linear transformations, semilinear transformations (15A04) Solvable, nilpotent (super)algebras (17B30) Lie algebras of linear algebraic groups (17B45)

Related Items

Maps on matrix spaces, Invertible linear maps on Borel subalgebras preserving zero Lie products, Bijective maps preserving commutators on a solvable classical group., Bijections preserving commutators and automorphisms of unitriangular groups, Invertible Linear Maps on Simple Lie Algebras Preserving Solvability, Non-linear maps preserving ideals on a parabolic subalgebra of a simple algebra, Bijective maps on unit upper triangular matrices preserving commutators, Nonlinear Maps on Simple Lie Algebras Preserving Lie Products, Nonlinear Maps on a Borel Subalgebra Preserving Ad-Nilpotent Ideals, Maps Preserving Commutators on the Standard Borel Subgroup of the Unitary Group over a Field, Bijective maps of infinite triangular and unitriangular matrices preserving commutators

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