Nonlinear Lie triple derivations on parabolic subalgebras of finite-dimensional simple Lie algebras

DOI10.1080/03081087.2011.624096zbMath1260.17013OpenAlexW1970633803WikidataQ115299772 ScholiaQ115299772MaRDI QIDQ2895706

Zhengxin Chen, Zhan Kui Xiao

Publication date: 4 July 2012

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

Full work available at URL: https://doi.org/10.1080/03081087.2011.624096

zbMATH Keywords

finite-dimensional simple Lie algebrasnonlinear Lie triple derivationsstandard parabolic subalgebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Derivations, actions of Lie algebras (16W25)

Related Items (2)

Nonlinear mappings on full matrices derivable at zero point ⋮ Nonlinear mappings on upper triangular matrices derivable at zero point

Cites Work

• Lie triple derivation of the Lie algebra of strictly upper triangular matrix over a commutative ring
• Near-derivations in Lie algebras
• Generalized derivations of Lie algebras
• Lie triple derivations of TUHF algebras
• Lie triple derivations of nest algebras
• Generalized Lie triple derivations
• Nonlinear maps satisfying derivability on standard parabolic subalgebras of finite-dimensional simple Lie algebras
• Nonlinear Maps on Simple Lie Algebras Preserving Lie Products
• Lie triple derivations on the parabolic subalgebras of simple Lie algebras
• Maps on upper triangular matrices preserving Lie products
• Nonlinear Lie derivations on upper triangular matrices
• Lie triple derivations on nest algebras

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