Contractions of Filippov algebras

DOI10.1063/1.3533944zbMath1314.17011arXiv1009.0372OpenAlexW1969666759MaRDI QIDQ5256200

Moisés Picón, José M. Izquierdo, José A. de Azcárraga

Publication date: 22 June 2015

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

Full work available at URL: https://arxiv.org/abs/1009.0372

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items

The variety of 7-dimensional 2-step nilpotent Lie algebras ⋮ On ID^∗-derivations of Filippov algebras ⋮ Degenerations of Filippov algebras ⋮ Degenerations of Jordan superalgebras ⋮ A characterization of finite dimensional nilpotent Filippov algebras ⋮ On degenerations of Lie superalgebras ⋮ \(n\)-ary algebras of the first level ⋮ On classification of (n + 6)-dimensional nilpotent n-Lie algebras of class 2 with n ≥ 4 ⋮ Degenerations of graph Lie algebras

Cites Work

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• On relating multiple M2 and D2-branes
• Exotic galilean symmetry and non-commutative mechanics
• Classification of simple linearly compact \(n\)-Lie superalgebras
• Leibniz and Lie algebra structures for Nambu algebra
• One-loop corrections to Bagger-Lambert theory
• Algebraic structures on parallel M2 branes
• Cohomology, central extensions, and (dynamical) groups
• \(n\)-Lie algebras
• Theory of \(n\)-Lie algebras
• On foundation of the generalized Nambu mechanics
• Higher-order simple Lie algebras
• Generating Lie and gauge free differential (super)algebras by expanding Maurer-Cartan forms and Chern-Simons supergravity
• On Lie \(k\)-algebras
• Some remarks concerning Nambu mechanics
• Analogs of the Cartan criteria for \(n\)-Lie algebras
• On an \(n\)-Lie algebra of Jacobians
• Expansions of algebras and superalgebras and some applications
• On the deformation of rings and algebras
• Contraction of Lie Groups
• n-ary algebras: a review with applications
• On the higher-order generalizations of Poisson structures
• The Schouten - Nijenhuis bracket, cohomology and generalized Poisson structures
• Gauge-invariant formulations of lineal gravities
• Generalized Hamiltonian Dynamics
• Wess-Zumino Term for the AdS Superstring and Generalized Inonu-Wigner Contraction
• Contractions of Lie algebras: Generalized Inönü–Wigner contractions versus graded contractions
• On the Contraction of Groups and Their Representations