Classification of bilinear invariants of operators on tensor fields

DOI10.1007/BF01086560zbMath0448.58030OpenAlexW2042489645MaRDI QIDQ1146922

P. Ya. Grozman

Publication date: 1980

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01086560

zbMATH Keywords

Poisson bracketLie superalgebrairreducible representationsLie derivativecommutation operationNijenhuis bracket

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Partial differential equations on manifolds; differential operators (58J99)

Related Items (15)

The space of \(m\)-ary differential operators as a module over the Lie algebra of vector fields ⋮ Cohomology of \(\mathrm{V ect}(\mathbb{R})\) acting on the space of bilinear differential operators ⋮ Structures of \(G(2)\) type and nonintegrable distributions in characteristic \(p\) ⋮ Invariant differential operators in positive characteristic ⋮ 𝒲-gauge structures and their anomalies: An algebraic approach ⋮ SUPERSYMMETRIC KUPER CAMASSA–HOLM EQUATION AND GEODESIC FLOW: A NOVEL APPROACH ⋮ Deformations on the twisted Heisenberg-Virasoro algebra ⋮ Unnamed Item ⋮ On Bilinear Invariant Differential Operators Acting on Tensor Fields on the Symplectic Manifold ⋮ On sl(2)-equivariant quantizations ⋮ Conformal symbols and the action of contact vector fields over the superline ⋮ Ternary invariant differential operators acting on spaces of weighted densities ⋮ Two problems in the theory of differential equations ⋮ The binary invariant differential operators on weighted densities on the superspace R1∣n and cohomology ⋮ Analogs of Bol operators on superstrings

Cites Work

• Conservation laws for the equation \(u_{tt}-u_{xx}+\sin u=0\)

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