Conformal symbols and the action of contact vector fields over the superline

DOI10.1515/CRELLE.2009.062zbMath1248.17017arXiv0712.1780OpenAlexW2003465314MaRDI QIDQ3647063

Charles H. Conley

Publication date: 27 November 2009

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.1780

zbMATH Keywords

cohomology of Lie superalgebrascontact vector fieldsequivariant quantizationInvariant differential operators

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Supermanifolds and graded manifolds (58A50)

Related Items

Bilinear differential operators and $\mathfrak{osp}(1|2)$-relative cohomology on $\mathbb{R}^{1|1}$ ⋮ Deformation of \(\mathfrak{aff}(1)\)-modules of pseudo-differential operators and symbols ⋮ Relative cohomology spaces for some osp(n|2)-modules ⋮ Second cohomology of the Lie superalgebra of contact vector fields on weighted densities on the superspace \(\mathbb{K}^{1|n}\) ⋮ 1-cocycles on the group of contactomorphisms on the supercircles \(S^{1|1}\) and \(S^{1|2}\) generalizing the Schwarzian derivative ⋮ Cohomology of \(\mathfrak {osp}(2|2)\) acting on spaces of linear differential operators on the superspace \(\mathbb{R}^{1|2}\) ⋮ The binary \(\mathfrak{a} \mathfrak{f} \mathfrak{f}(n | 1)\)-invariant differential operators on weighted densities on the superspace \(\mathbb{R}^{1 | n}\) and \(\mathfrak{a} \mathfrak{f} \mathfrak{f}(n | 1)\)-relative cohomology ⋮ 1-Cocycles on the group of contactomorphisms on the supercircle S 1|3 generalizing the Schwarzian derivative ⋮ Cohomology of orthosymplectic Lie superalgebra acting on λ-densities on ℝ1|n ⋮ The second cohomology spaces of \(\mathcal{K} (1)\) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on \(S^{1|1} \) ⋮ On 𝔬𝔰𝔭(1|2)-relative cohomology of the Lie superalgebra of contact vector fields on ℝ1|1 ⋮ On \(\mathfrak{aff}(2 | 1)\)-relative cohomology on \(\mathbb{R}^{1 | 2} \) ⋮ 𝔞𝔣𝔣(1|1)-Relative cohomology on ℝ1|1 ⋮ Lie antialgebras: Prémices ⋮ The linear \(\mathfrak{osp}(n|2)\)-invariant differential operators and cohomology ⋮ On \(\mathfrak{osp}(2|2)\)-relative cohomology of the Lie superalgebra of contact vector fields and deformations ⋮ The affine cohomology spaces and its applications ⋮ Cohomology of \({\mathcal {K}(2)}\) acting on linear differential operators on the superspace \({\mathbb{R}^{1|2}}\) ⋮ The spaces Hn(osp(1∣2),M) for some modules M ⋮ The linear \(\mathfrak{n}(1|N)\)-invariant differential operators and \(\mathfrak{n}(1|N)\)-relative cohomology ⋮ The binary invariant differential operators on weighted densities on the superspace R1∣n and cohomology ⋮ Deformation of modules of weighted densities on the superspace \(\mathbb{R}^{1| N}\) ⋮ Deforming 𝔥-trivial the Lie algebra Vect(S¹) inside the Lie algebra of pseudodifferential operators Ψ𝒟𝒪 ⋮ Equivalence classes of subquotients of supersymmetric pseudodifferential operator modules

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