Classification of a family of 4-dimensional anti-commutative algebras and their automorphisms

DOI10.1016/j.laa.2022.10.010OpenAlexW4306154957MaRDI QIDQ2093525

Péter T. Nagy, Ágota Figula

Publication date: 8 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.laa.2022.10.010

zbMATH Keywords

automorphism groupextensionsemidirect productanti-commutative algebraweak isomorphismbinary Lie algebra

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30) Mal'tsev rings and algebras (17D10) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Other nonassociative rings and algebras (17D99)

Cites Work

• Classification of orbit closures of 4-dimensional complex Lie algebras
• Irreducible non-Lie modules for Malcev superalgebras
• Algebra VI. Combinatorial and asymptotic methods of algebra. Non- associative structures. Transl. from the Russian by R. M. Dimitrić
• The algebraic and geometric classification of nilpotent anticommutative algebras
• Central extensions of 4-dimensional binary Lie algebras
• Malcev Algebras
• On malcev modules
• Classification of three-dimensional zeropotent algebras over an algebraically closed field
• Classification of three-dimensional zeropotent algebras over the real number field
• Degenerations of binary Lie and nilpotent Malcev algebras
• The algebraic and geometric classification of nilpotent binary Lie algebras
• Degenerations of Leibniz and Anticommutative Algebras
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