scientific article; zbMATH DE number 1540326
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Publication:4519759
zbMath0986.17008MaRDI QIDQ4519759
Publication date: 4 December 2000
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modules of densitiescohomology of the Lie algebra of vector fields on the linedifferential operator on the line
Lie algebras of vector fields and related (super) algebras (17B66) Invariance and symmetry properties for PDEs on manifolds (58J70) Cohomology of Lie (super)algebras (17B56)
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Singular projective bases and the affine Bol operator ⋮ Annihilators of tensor density modules ⋮ Equivalence classes of subquotients of pseudodifferential operator modules ⋮ Remarks on the Schwarzian derivatives and the invariant quantization by means of a Finsler function. ⋮ The space of \(m\)-ary differential operators as a module over the Lie algebra of vector fields ⋮ First cohomology of the Lie algebra of vector fields on the affine real line relative to affine vector fields with coefficients in bilinear differential operators on weighted densities ⋮ Cohomology of 𝔞𝔣𝔣(1|1) acting on the space of n-ary linear differential operators on S1|1 ⋮ Comparison of some modules of the Lie algebra of vector fields ⋮ Cohomology of Lie algebras on \(\mathbb{R}\) acting on trilinear differential operators ⋮ Projectively invariant cocycles of holomorphic vector fields on an open Riemann surface ⋮ Conformally equivariant quantization: existence and uniqueness ⋮ Cohomology of \(\mathfrak{sl}(2)\) acting on the space of \(n\)-ary differential operators on \(\mathbb{R} \) ⋮ Symmetries of modules of differential operators on the supercircle \(S^{1|n}\) ⋮ Equivalence classes of subquotients of supersymmetric pseudodifferential operator modules ⋮ Invariant bilinear operators and the second 𝔰𝔩(2)-relative cohomology of the Lie algebra of vector fields on ℝ
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