Cohomology of aff(1|1) acting on the space of bilinear differential operators on the superspace IR1|1

DOI10.22080/CJMS.2020.18235.1464zbMath1474.53323OpenAlexW3014525209MaRDI QIDQ4963716

Mohamed Elkhames Chraygui, Imed Basdouri, Ammar Derbali

Publication date: 23 February 2021

Full work available at URL: http://cjms.journals.umz.ac.ir/article_2545_4db52b9ff88aeaadb42064c184c8b09c.pdf

zbMATH Keywords

differential operatorscontact geometryLie (super)algebra

Mathematics Subject Classification ID

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

Cites Work

• Cohomology of \({\mathfrak{osp}}(1|2)\) acting on linear differential operators on the supercircle \(S^{1|1}\)
• DEFORMATIONS OF LIE ALGEBRAS
• Three Cocycles on $\Diff(S^1)$ Generalizing the Schwarzian Derivative
• COHOMOLOGY OF THE VECTOR FIELDS LIE ALGEBRAS ON ℝℙ¹ ACTING ON BILINEAR DIFFERENTIAL OPERATORS
• THE LINEAR $\mathfrak{aff}(n|1)$-INVARIANT DIFFERENTIAL OPERATORS ON WEIGHTED DENSITIES ON THE SUPERSPACE ℝ^1|n AND $\mathfrak{aff}(n|1)$-RELATIVE COHOMOLOGY
• Cohomology Theory of Lie Groups and Lie Algebras
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