Deformation of \(\mathfrak{sl}(2)\) and \(\mathfrak{osp}(1| 2)\)-modules of symbols

DOI10.1007/s10474-012-0220-9zbMath1274.17028arXiv1004.1700OpenAlexW2471500809MaRDI QIDQ2392050

Imed Basdouri, Mabrouk Ben Ammar

Publication date: 6 August 2013

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.1700

zbMATH Keywords

cohomologydeformationsymbolweighted density

Mathematics Subject Classification ID

Deformations of general structures on manifolds (58H15) Deformation quantization, star products (53D55) Cohomology of Lie (super)algebras (17B56)

Related Items (3)

Second cohomology space of $\mathfrak{sl}(2)$ acting on the space of bilinear bidifferential operators ⋮ Deformation of 𝔬𝔰𝔭(2|2)-modules of weighted densities on ℝ1|2 ⋮ Deformation of modules of weighted densities on the superspace \(\mathbb{R}^{1| N}\)

Cites Work

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• DEFORMATIONS OF LIE ALGEBRAS
• Deformations of Modules of Differential Forms
• Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂^1|1 and Deformations of the Superspace of Symbols
• Deformations of homomorphisms of Lie groups and Lie algebras
• On the cohomology of \(\text{sl}(m+1,\mathbb R)\) acting on differential operators and \(\text{sl}(m+1,\mathbb R)\)-equivariant symbol

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