Local derivations and automorphisms of Cayley algebras

DOI10.1016/J.JPAA.2022.107277OpenAlexW4309764899MaRDI QIDQ2684781

Alberto Elduque, Shavkat A. Ayupov, Karimbergen K. Kudaybergenov

Publication date: 17 February 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.01147

zbMATH Keywords

automorphismderivationlocal automorphismCayley algebralocal derivation

Mathematics Subject Classification ID

Composition algebras (17A75) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (2)

A criterion of local derivations on the seven-dimensional simple Malcev algebra ⋮ Local derivations of classical simple Lie algebras

Cites Work

• Some special features of Cayley algebras, and \(G_2\), in low characteristics
• Local derivations on finite-dimensional Lie algebras
• Semiprimary Mal'tsev algebras of characteristic 3
• Central simple Mal'tsev algebras
• Models of the octonions and \(G_2\).
• On the Cartan-Jacobson theorem
• Local automorphisms of finite dimensional simple Lie algebras
• Local automorphisms on finite-dimensional Lie and Leibniz algebras
• Local derivations
• Local automorphisms and local derivations of nilpotent matrix algebras
• Local and 2-local derivations and automorphisms on simple Leibniz algebras
• A survey on local and 2-local derivations on C*- and von Neuman algebras
• Local automorphisms and derivations on $\mathcal {B}(H)$
• Lie Groups, Lie Algebras, and Representations
• Local and 2-local automorphisms on octonion algebras
• Local and 2-local derivations on octonion algebras
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