Deformations of 3-algebras
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Publication:3583712
DOI10.1063/1.3262528zbMath1304.17005arXiv0903.4871OpenAlexW3104469299MaRDI QIDQ3583712
Publication date: 17 August 2010
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0903.4871
Chern-Simons theorysupersymmetric field theory\(n\)-Lie algebrascohomology theory of Leibniz algebradeformations of \(n\)-Leibniz algebras
Supersymmetric field theories in quantum mechanics (81T60) Leibniz algebras (17A32) Ternary compositions (17A40)
Related Items (24)
Cohomologies of Reynolds operators on n-Lie algebras ⋮ 3-Lie∞-algebras and 3-Lie 2-algebras ⋮ Cohomologies and relative Rota-Baxter-Nijenhuis structures of 3-LieRep pairs ⋮ Extensions and crossed modules of \(n\)-Lie-Rinehart algebras ⋮ Extending structures for 3-Lie algebras ⋮ Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras ⋮ Deformations and cohomologies of embedding tensors on 3-Lie algebras ⋮ Cohomologies and deformations of O-operators on Lie triple systems ⋮ A new approach to representations of 3-Lie algebras and abelian extensions ⋮ Maurer-Cartan characterizations and cohomologies of crossed homomorphisms on Lie triple systems ⋮ Lie \(n\)-algebras and cohomologies of relative Rota-Baxter operators on \(n\)-Lie algebras ⋮ Lie 3-algebras and deformations of relative Rota-Baxter operators on 3-Lie algebras ⋮ Quadratic Color Hom-Lie Algebras ⋮ Generalized derivation extensions of 3-Lie algebras and corresponding Nambu-Poisson structures ⋮ Nijenhuis operators, product structures and complex structures on Lie–Yamaguti algebras ⋮ A Relative Theory for Leibniz n-Algebras ⋮ On Exact Courant Algebras ⋮ Cohomology, derivations and abelian extensions of 3-Lie algebras ⋮ On the isomorphism of non-abelian extensions of \(n\)-Lie algebras ⋮ Split 3-Lie algebras ⋮ 3-post-Lie algebras and relative Rota-Baxter operators of nonzero weight on 3-Lie algebras ⋮ Nijenhuis operators on 3-Hom-L-dendriform algebras ⋮ 3-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras ⋮ Deformations of Courant pairs and Poisson algebras
Cites Work
- Leibniz and Lie algebra structures for Nambu algebra
- Algebraic structures on parallel M2 branes
- On the Lie-algebraic origin of metric 3-algebras
- Universal enveloping algebras of Leibniz algebras and (co)homology
- On the geometry of inner ideals
- Some remarks concerning Nambu mechanics
- On the deformation of rings and algebras
- Superpotentials for superconformal Chern–Simons theories from representation theory
- Generalized Hamiltonian Dynamics
- Deformations of homomorphisms of Lie groups and Lie algebras
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