Non-degenerate Invariant Bilinear Forms on Leibniz Algebras

DOI10.1142/S1005386715000607zbMath1371.17002OpenAlexW2239120709WikidataQ122902657 ScholiaQ122902657MaRDI QIDQ3459183

Song Wang, Lin Sheng Zhu

Publication date: 21 December 2015

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386715000607

zbMATH Keywords

double extensionquadratic Leibniz algebra

Mathematics Subject Classification ID

Cohomology of Lie (super)algebras (17B56) Leibniz algebras (17A32)

Related Items (1)

On pseudo-Euclidean Lie algebras whose Levi-Civita product is left Leibniz

Cites Work

• Leibniz and Lie algebra structures for Nambu algebra
• Symmetric, invariant, non-degenerate bilinear form on a Lie algebra
• On foundation of the generalized Nambu mechanics
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Double extension of quadratic lie superalgebras
• Generalized Hamiltonian Dynamics
• Lie superalgebras

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