Invertible linear maps on Borel subalgebras preserving zero Lie products
From MaRDI portal
Publication:402443
DOI10.1016/j.jalgebra.2014.02.023zbMath1316.17006OpenAlexW2058053441WikidataQ115350933 ScholiaQ115350933MaRDI QIDQ402443
Publication date: 28 August 2014
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.02.023
Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20)
Related Items (5)
Biderivations and strong commutativity-preserving maps on parabolic subalgebras of simple Lie algebras ⋮ Zero product determined Lie algebras ⋮ Strong commutativity preserving maps of strictly triangular matrix Lie algebras ⋮ Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Maps on simple algebras preserving zero products. II: Lie algebras of linear type
- Bijective maps preserving commutators on a solvable classical group.
- A class of zero product determined Lie algebras
- Commutativity preserving maps
- Linear preserver problems: A brief introduction and some special techniques
- Commutativity preserving linear maps and Lie automorphisms of triangular matrix algebras
- Commutativity preserving linear maps and Lie automorphisms of strictly triangular matrix space
- Bijective maps on standard Borel subgroup of symplectic group preserving commutators.
- Nonlinear maps preserving solvability
- Rigidity results for groups with radical cohomology of finite groups and arithmeticity problems
- Linear Preserver Problems
- Nonlinear Maps on Simple Lie Algebras Preserving Lie Products
- Nonlinear Maps on a Borel Subalgebra Preserving Ad-Nilpotent Ideals
- Quasi-Automorphisms of Lie Algebras
- Invertible linear maps on simple Lie algebras preserving commutativity
- Classification of Solvable Lie Algebras
- Maps on upper triangular matrices preserving Lie products
- Linear Operations on Matrices
- Invertible Linear Maps on Simple Lie Algebras Preserving Solvability
- Introduction to Lie Algebras and Representation Theory
This page was built for publication: Invertible linear maps on Borel subalgebras preserving zero Lie products