3-Lie superalgebras induced by Lie superalgebras

DOI10.3390/AXIOMS8010021zbMath1432.17022OpenAlexW2901765851MaRDI QIDQ2306140

Viktor Abramov

Publication date: 20 March 2020

Published in: Axioms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/axioms8010021

zbMATH Keywords

Lie superalgebrasupertracecommutative superalgebra3-Lie superalgebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (5)

Yau-type ternary Hom-Lie bialgebras ⋮ Induced 3-Hom-Lie superalgebras ⋮ Structure and cohomology of 3-Lie-Rinehart superalgebras ⋮ Generalized derivations and centroids of ternary Jordan superalgebras ⋮ Induced 3-Lie algebras, superalgebras and induced representations

Cites Work

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• \(n\)-Lie algebras
• On foundation of the generalized Nambu mechanics
• 3-ary Hom-Lie superalgebras induced by Hom-Lie superalgebras
• Super 3-Lie algebras induced by super Lie algebras
• Deformation quantization and Nambu mechanics
• Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
• Constructions of 3-Lie algebras
• n-ary algebras: a review with applications
• Matrix 3-Lie superalgebras and BRST supersymmetry
• Generalized Hamiltonian Dynamics
• Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras

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