Biderivations and commuting linear maps on Lie algebras

zbMath1422.17006arXiv1801.01109MaRDI QIDQ4583919

Matej Brešar, Kaiming Zhao

Publication date: 28 August 2018

Full work available at URL: https://arxiv.org/abs/1801.01109

zbMATH Keywords

Lie algebracentroidbiderivationcommuting linear map

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Functional identities (associative rings and algebras) (16R60)

Related Items (22)

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Cites Work

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• The centroid of extended affine and root graded Lie algebras
• Centralizing maps in prime rings with involution
• Generalized derivations of Lie algebras
• Biderivations of the block Lie algebras
• Commuting maps: a survey.
• Centralizing mappings and derivations in prime rings
• Biderivations and linear commuting maps on simple generalized Witt algebras over a field
• Biderivations And Linear Commuting Maps on the Schrödinger-Virasoro Lie Algebra
• Biderivations of the Parabolic Subalgebras of Simple Lie Algebras
• Commuting Maps of Triangular Algebras
• Biderivations of finite-dimensional complex simple Lie algebras

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