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Constructions of 3-Lie algebras
Ruipu Bai,Yong Wu +1 more
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In this article, the 3-Lie algebras are constructed by commutative associative algesbras, involutions and derivations, and their structures are studied.Abstract:
3-Lie algebras are constructed by commutative associative algebras, involutions and derivations. Then the 3-Lie algebras are obtained from Lie algebras and linear functions, and from group algebras F[G] of an abelian group G and homomorphisms . At the end of the paper, the 3-Lie algebras are obtained from Laurent polynomials , and whose structures are studied.read more
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Transposed poisson algebras, novikov-poisson algebras and 3-lie algebras
TL;DR: The transposed Poisson algebra as discussed by the authors is a dual notion of the Poisson algebras defined by exchanging the roles of the two binary operations in the Leibniz rule defining the poisson algebra.
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3-Lie-Rinehart Algebras
Ruipu Bai,Xiaojuan Li,Yingli Wu +2 more
TL;DR: The 3-Lie-Rinehart algebras as mentioned in this paper is a class of 3-algebra which is defined as a triple 3-Algebra with three modules.
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Structure and cohomology of 3-Lie-Rinehart superalgebras
TL;DR: In this article, the authors introduce the concept of 3-Lie-Rinehart superalgebra and systematically describe a cohomology complex by considering coefficient modules, and study the relationships between a Lie-Rinear-Hart super-algebra (LRHRHS) and its induced 3-LRLHS.
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3-Hom-Lie Algebras Based on $$\sigma $$σ -Derivation and Involution
Viktor Abramov,Sergei Silvestrov +1 more
TL;DR: In this article, a ternary totally skew-symmetric bracket is constructed for 3-Hom-Lie algebras, which satisfies the Hom-Filippov-Jacobi identity.
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Transposed BiHom-Poisson algebras
Tianshui Ma,Bei‐Foo Li +1 more
TL;DR: In this paper , the transposed BiHom-Poisson (abbr. TBP) algebras which can be constructed by biHom-Novikov poisson (BP) was introduced.
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Generalized Hamiltonian dynamics
TL;DR: The equations of dynamics were put into a general form by Lagrange, who expressed them in terms of a set of generalized coordinates and velocities as discussed by the authors, and an alternative general form was later given by Hamilton, in the form of coordinates and momenta.
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Gauge symmetry and supersymmetry of multiple M2-branes
Jonathan Bagger,Neil Lambert +1 more
TL;DR: In this article, a supersymmetric field theory model for multiple M2-branes based on an algebra with a totally antisymmetric triple product is proposed. But the field is not dynamical.
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Algebraic structures on parallel M2-branes
TL;DR: In this article, the authors assume a certain algebraic structure for the low energy theory living on parallel M2 branes, and assume a topological degree-of-freedom field with topological degrees of freedom.
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Modeling multiple M2-branes
Jonathan Bagger,Neil Lambert +1 more
TL;DR: In this article, the authors investigate the world volume theory that describes $N$ coincident M2-branes ending on an M5-brane and show how a Basu-Harvey fuzzy funnel arises as the Bogomol'nyi-Prasad-Sommerfield solution.
Journal ArticleDOI
Generalized Hamiltonian dynamics
TL;DR: In this article, a generalization of classical Hamiltonian dynamics to a three-dimensional phase space is proposed, where the equation of motion involves two Hamiltonians and three canonical variables.