Nonlinear Maps on Simple Lie Algebras Preserving Lie Products

DOI10.1080/00927871003591892zbMath1262.17004OpenAlexW1965936855MaRDI QIDQ3084550

Dengyin Wang, Yanxia Zhao, Zhengxin Chen

Publication date: 25 March 2011

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

Full work available at URL: https://doi.org/10.1080/00927871003591892

zbMATH Keywords

simple Lie algebrasnonlinear mapsautomorphisms of Lie algebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (6)

Nonlinear Lie triple derivations on parabolic subalgebras of finite-dimensional simple Lie algebras ⋮ Invertible linear maps on Borel subalgebras preserving zero Lie products ⋮ The automorphism group of the Lie ring of real skew-symmetric matrices ⋮ Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group ⋮ Nonlinear anti-commuting maps of strictly triangular matrix Lie algebras ⋮ Nonlinear maps satisfying derivability on the parabolic subalgebras of the general linear Lie algebras

Cites Work

• Unnamed Item
• Nonlinear maps preserving solvability
• Linear Preserver Problems
• Maps on upper triangular matrices preserving Lie products
• Linear Operations on Matrices
• Non-Linear Spectrum-Preserving Maps
• Introduction to Lie Algebras and Representation Theory

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