Cohomology of \({\mathcal {K}(2)}\) acting on linear differential operators on the superspace \({\mathbb{R}^{1|2}}\)
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Publication:1035786
DOI10.1007/s11005-008-0283-2zbMath1180.53085OpenAlexW1990028191MaRDI QIDQ1035786
Publication date: 4 November 2009
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11005-008-0283-2
Related Items
\(\mathfrak{osp}(2|2)\)-trivial deformations of modules of weighted densities on the superspace \(\mathbb R^{1|2}\) ⋮ 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 ⋮ On \(\mathfrak{osp}(2|2)\)-relative cohomology of the Lie superalgebra of contact vector fields and deformations ⋮ The binary invariant differential operators on weighted densities on the superspace R1∣n and cohomology
Cites Work
- Differential operators on supercircle: conformally equivariant quantization and symbol calculus
- Homology of the Lie algebra of vector fields on the line
- On the Projective Geometry of the Supercircle: A Unified Construction of the Super Cross-Ratio and Schwarzian Derivative
- Conformal symbols and the action of contact vector fields over the superline
- Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂1|1 and Deformations of the Superspace of Symbols
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