The automorphism group of the Lie ring of real skew-symmetric matrices

DOI10.1155/2013/638230zbMath1470.17011OpenAlexW1999371924WikidataQ58916486 ScholiaQ58916486MaRDI QIDQ2318926

Baodong Zheng, Jinli Xu, Li Yang

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/638230

Mathematics Subject Classification ID

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

Related Items (2)

Linear maps on upper triangular matrices spaces preserving idempotent tensor products ⋮ Induced maps on matrices over fields

Cites Work

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• The derivation Lie algebra of the higher rank Virasoro-like algebra and its automorphism groups
• Linear/additive preservers of rank 2 on spaces of alternate matrices over fields
• Lie isomorphisms of prime rings satisfying \(St_4\)
• Isomorphisms of the unitriangular groups and associated Lie rings for the exceptional dimen\-sions.
• Homomorphisms and derivations in \(C^{*}\)-algebras
• Isomorphisms and derivations in Lie \(C^{\ast}\)-algebras
• Additive map preserving rank 2 on alternate matrices
• Nonlinear Maps on Simple Lie Algebras Preserving Lie Products
• Maps on upper triangular matrices preserving Lie products
• Lie isomorphisms of the skew elements of a prime ring with involution

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