Induced ternary Hom-Nambu-Lie algebras
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Publication:6119358
DOI10.1007/978-3-031-32009-5_24OpenAlexW4387014521MaRDI QIDQ6119358
Elvice Ongong'a, Abdennour Kitouni, Sergei D. Silvestrov, Jared Ongaro
Publication date: 22 March 2024
Published in: Non-commutative and Non-associative Algebra and Analysis Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-32009-5_24
Ternary compositions (17A40) Other (n)-ary compositions ((n ge 3)) (17A42) Hom-Lie and related algebras (17B61) (non-Lie) Hom algebras and topics (17D30)
Cites Work
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- Some remarks concerning Nambu mechanics
- On solvability and nilpotency for \(n\)-Hom-Lie algebras and \((n+1)\)-Hom-Lie algebras induced by \(n\)-Hom-Lie algebras
- Classification of low-dimensional Hom-Lie algebras
- Deformations of Lie algebras using \(\sigma\)-derivations
- On \(n\)-ary Hom-Nambu and Hom-Nambu-Lie algebras
- On classification of \(n\)-Lie algebras
- Hom-algebra structures
- Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras
- Constructing (n+ 1)-Lie algebras fromn-Lie algebras
- Generalization of n-ary Nambu algebras and beyond
- Generalized Hamiltonian Dynamics
- Ternary Hom–Nambu–Lie algebras induced by Hom–Lie algebras
- Realizations of 3-Lie algebras
- Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras
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