Test for Leibniz \(n\)-algebra structure

DOI10.1016/j.laa.2016.01.014zbMath1382.17004OpenAlexW2283767487WikidataQ123198812 ScholiaQ123198812MaRDI QIDQ252612

José Manuel Casas Mirás, Manuel Avelino Insua Hermo, Susana Ladra, Manuel Ladra Gonzalez

Publication date: 3 March 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.01.014

zbMATH Keywords

Gröbner basisuniversal enveloping algebraLeibniz \(n\)-algebraLie \(n\)-algebraoverlap relations

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Leibniz algebras (17A32) Software, source code, etc. for problems pertaining to nonassociative rings and algebras (17-04)

Related Items (4)

An algorithm for the classification of 3-dimensional complex Leibniz algebras ⋮ n-Algebras admitting a multiplicative basis ⋮ On \(n\)-Hom-Leibniz algebras and cohomology ⋮ Augmented \(n\)-ary maps and their applications to graded \(n\)-ary algebraic structures

Uses Software

• Mathematica
• NCAlgebra

Cites Work

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• ON NILPOTENT LEIBNIZ n-ALGEBRAS
• Generalized Hamiltonian Dynamics
• Leibniz algebroid associated with a Nambu-Poisson structure
• LEIBNIZ TRIPLE SYSTEMS
• A Structure Theory of Lie Triple Systems

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