The classification of nilpotent Lie-Yamaguti algebras

DOI10.1016/j.laa.2022.09.005OpenAlexW4296641368WikidataQ114151183 ScholiaQ114151183MaRDI QIDQ2080261

Amir Fernández Ouaridi, Hani Abdelwahab, Maria Elisabete Félix Barreiro Carvalho, Antonio Jesús Calderón Martín

Publication date: 7 October 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.2022.09.005

zbMATH Keywords

annihilator extensionalgebraic classificationLie-Yamaguti algebra

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Nonassociative algebras satisfying other identities (17A30) Other nonassociative rings and algebras (17D99)

Related Items

Automorphisms of extensions of Lie-Yamaguti algebras and inducibility problem ⋮ The algebraic classification and degenerations of nilpotent Poisson algebras

Cites Work

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• Classification of five-dimensional nilpotent Jordan algebras
• The classification of \(n\)-dimensional non-Lie Malcev algebras with \((n-4)\)-dimensional annihilator
• Six-dimensional nilpotent Lie algebras
• Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2
• Classification of nilpotent Malcev algebras of small dimensions over arbitrary fields of characteristic not 2
• Central extensions of 4-dimensional binary Lie algebras
• Degenerations of nilpotent algebras
• Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces
• Classification of nilpotent associative algebras of small dimension
• The classification of n-dimensional anticommutative algebras with (n − 3)-dimensional annihilator
• The classification of N-dimensional non-associative Jordan algebras with (N − 3)-dimensional annihilator
• The algebraic and geometric classification of nilpotent binary Lie algebras
• Invariant Affine Connections on Homogeneous Spaces