Induced 3-Lie algebras, superalgebras and induced representations

DOI10.3176/proc.2020.2.05zbMath1477.17042OpenAlexW3026446837MaRDI QIDQ4988438

Priit Lätt, Viktor Abramov

Publication date: 14 May 2021

Published in: Proceedings of the Estonian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3176/proc.2020.2.05

zbMATH Keywords

3-Lie algebra3-Lie superalgebraFilippov-Jacobi identitycommutative algebras with involution and derivationrepresentations of 3-Lie algebras and superalgebras

Mathematics Subject Classification ID

Superalgebras (17A70) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (2)

Yau-type ternary Hom-Lie bialgebras ⋮ Induced 3-Hom-Lie superalgebras

Cites Work

• On \((n+1)\)-Hom-Lie algebras induced by \(n\)-Hom-Lie algebras
• \(n\)-Lie algebras
• 3-ary Hom-Lie superalgebras induced by Hom-Lie superalgebras
• 3-Lie superalgebras induced by Lie superalgebras
• Super 3-Lie algebras induced by super Lie algebras
• Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras
• Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
• Constructions of 3-Lie algebras
• Matrix 3-Lie superalgebras and BRST supersymmetry
• Generalized Hamiltonian Dynamics
• Ternary Hom–Nambu–Lie algebras induced by Hom–Lie algebras

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