Variational calculus of supervariables and related algebraic structures

DOI10.1006/jabr.1999.8064zbMath1012.37048arXivmath/9911191OpenAlexW1990756426MaRDI QIDQ1970959

Xiaoping Xu

Publication date: 13 September 2001

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9911191

zbMATH Keywords

Lie superalgebrasuper-Virasoro algebraNovikov-Poisson algebrasformal variational calculus of supervariablesHamiltonian superoperators

Mathematics Subject Classification ID

Related Items (17)

2-Local superderivations on the Lie superalgebra of Block type ⋮ Novikov-Poisson algebras ⋮ Gröbner–Shirshov bases method for Gelfand–Dorfman–Novikov algebras ⋮ On classification of quasifinite representations of two classes of Lie superalgebras of block type ⋮ Free Gelfand–Dorfman–Novikov superalgebras and a Poincaré–Birkhoff–Witt type theorem ⋮ New generalized simple Lie algebras of Cartan type over a field with characteristic 0 ⋮ Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms ⋮ ON SOME LEFT-SYMMETRIC SUPERALGEBRAS ⋮ Flat pencils of symplectic connections and Hamiltonian operators of degree 2 ⋮ Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras ⋮ A kind of infinite-dimensional Novikov algebras and its realizations ⋮ Classification of simple Novikov algebras and their irreducible modules of characteristic 0 ⋮ Novikov Superalgebras in Low Dimensions ⋮ Underlying lie algebras of quadratic Novikov algebras ⋮ Quadratic conformal superalgebras ⋮ A Hom-version of the affinizations of Balinskii–Novikov and Novikov superalgebras ⋮ BALINSKY–NOVIKOV SUPERALGEBRAS AND SOME INFINITE-DIMENSIONAL LIE SUPERALGEBRAS

Cites Work

• Hamiltonian operators in graded formal calculus of variations
• On simple Novikov algebras and their irreducible modules
• Hamiltonian operators and algebraic structures related to them
• A Lie algebra structure in a formal variational calculation
• Skew-symmetric differential operators and combinatorial identities
• Infinite dimensional Novikov algebras of characteristic \(O\)
• Novikov-Poisson algebras
• On spinor vertex operator algebras and their modules
• Hamiltonian operators and associative algebras with a derivation
• Vertex operator superalgebras
• Supersymmetric extension of the Korteweg–de Vries equation
• Spinor Construction of Vertex Operator Algebras, Triality, and 𝐸⁽¹⁾₈
• Simple novikov algebras with an idempotent
• ASYMPTOTIC BEHAVIOUR OF THE RESOLVENT OF STURM-LIOUVILLE EQUATIONS AND THE ALGEBRA OF THE KORTEWEG-DE VRIES EQUATIONS
• Modules over novikov algebras of characteristic 0
• Hamiltonian superoperators
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