Nonassociative algebras related to Hamiltonian operators in the formal calculus of variations

DOI10.1016/0022-4049(95)00062-2zbMath0847.17001OpenAlexW2051148512MaRDI QIDQ1899167

J. Marshall Osborn, Efim I. Zelmanov

Publication date: 9 October 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00062-2

zbMATH Keywords

identitiesNovikov algebraWeisfeiler filtrationsimple Novikov algebra

Mathematics Subject Classification ID

Nonassociative algebras satisfying other identities (17A30)

Related Items

Towards Kac-van de Leur conjecture: locality of superconformal algebras ⋮ Gröbner–Shirshov bases method for Gelfand–Dorfman–Novikov algebras ⋮ Extending structures for Gel'fand-Dorfman bialgebras ⋮ On free Gelfand-Dorfman-Novikov-Poisson algebras and a PBW theorem ⋮ Simplicity of quadratic Lie conformal algebras ⋮ Gröbner-Shirshov bases for free Gelfand-Dorfman-Novokov algebras and for right ideals of free right Leibniz algebras ⋮ Variations of the novikov identities ⋮ Free Gelfand–Dorfman–Novikov superalgebras and a Poincaré–Birkhoff–Witt type theorem ⋮ On finite dimensional simple Novikov superalgebras ⋮ Classification of simple Novikov algebras and their irreducible modules of characteristic 0 ⋮ Quadratic conformal superalgebras ⋮ Reduced pre-Lie algebraic structures, the weak and weakly deformed Balinsky-Novikov type symmetry algebras and related Hamiltonian operators ⋮ BALINSKY–NOVIKOV SUPERALGEBRAS AND SOME INFINITE-DIMENSIONAL LIE SUPERALGEBRAS

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