Do $n$-Lie algebras have universal enveloping algebras

zbMath1433.17006arXiv1508.06940MaRDI QIDQ4636809

Tim Van der Linden, Xabier García-Martínez, Rustam Turdibaev

Publication date: 20 April 2018

Full work available at URL: https://arxiv.org/abs/1508.06940

zbMATH Keywords

universal enveloping algebra\(n\)-Leibniz\(n\)-Lie

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (2)

Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras ⋮ Notes on Leibniz \(n\)-algebras

Cites Work

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• Leibniz and Lie algebra structures for Nambu algebra
• Irreducible highest weight representations of the simple \(n\)-Lie algebra
• Baer invariants and the Birkhoff-Witt theorem
• Leibniz n-algebras
• Universal Associative Envelopes of (n+ 1)-Dimensionaln-Lie Algebras
• Representations of Vector Productn-Lie Algebras
• Generalized Hamiltonian Dynamics
• Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras
• Lie and Jordan Triple Systems

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