k-Leibniz algebras from lower order ones: From Lie triple to Lie ℓ-ple systems

DOI10.1063/1.4819468zbMath1330.17004arXiv1304.0885OpenAlexW2059190309WikidataQ123194193 ScholiaQ123194193MaRDI QIDQ5409683

José M. Izquierdo, José A. de Azcárraga

Publication date: 14 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0885

Mathematics Subject Classification ID

Leibniz algebras (17A32) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items

Generalized metricn-Leibniz algebras and generalized orthogonal representationof metric Lie algebras ⋮ Some constructions of multiplicative \(n\)-ary Hom-Nambu algebras

Cites Work

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• \(\mathcal N= 6\) superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Selfdual strings and loop space Nahm equations
• Constructing generalized self-dual strings
• Plücker-type relations for orthogonal planes
• Leibniz and Lie algebra structures for Nambu algebra
• Multiple membranes in M-theory
• The M2-M5 brane system and a generalized Nahm's equation
• On the Lie-algebraic origin of metric 3-algebras
• \(n\)-Lie algebras
• Theory of \(n\)-Lie algebras
• On foundation of the generalized Nambu mechanics
• Higher-order simple Lie algebras
• Jordan-Lie super algebra and Jordan-Lie triple system
• The geometry of Jordan and Lie structures
• On the geometry of inner ideals
• On Lie \(k\)-algebras
• Some remarks concerning Nambu mechanics
• Analogs of the Cartan criteria for \(n\)-Lie algebras
• Open \(p\)-branes
• Leibniz n-algebras
• Three-algebras and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math>Chern-Simons gauge theories
• Triple products and Yang–Baxter equation. II. Orthogonal and symplectic ternary systems
• n-ary algebras: a review with applications
• Secondary Calculus and Cohomological Physics
• On the higher-order generalizations of Poisson structures
• Parastatistics as Lie-supertriple systems
• The Schouten - Nijenhuis bracket, cohomology and generalized Poisson structures
• Generalized Hamiltonian Dynamics
• QUASI-CLASSICAL LIE SUPERALGEBRAS AND LIE SUPERTRIPLE SYSTEMS
• On a class of n-Leibniz deformations of the simple Filippov algebras
• LEIBNIZ TRIPLE SYSTEMS
• General Representation Theory of Jordan Algebras
• A Structure Theory of Lie Triple Systems
• Three-algebras, triple systems and 3-graded Lie superalgebras
• Brane surgery