Cohomology of 𝔞𝔣𝔣(2|1) acting on the space of linear differential operators on the superspace ℝ1|2

DOI10.1142/S0219887816501243zbMath1391.17018OpenAlexW2173178029WikidataQ115245374 ScholiaQ115245374MaRDI QIDQ3179752

Mohamed Elkhames Chraygui, Ammar Derbali, Imed Basdouri

Publication date: 20 December 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887816501243

zbMATH Keywords

differential operatorscontact geometryLie (super)algebra

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Deformations of general structures on manifolds (58H15) Deformation quantization, star products (53D55) Cohomology of Lie (super)algebras (17B56)

Cites Work

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• 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 of the Lie Superalgebra of Contact Vector Fields on 𝕂^1|1 and Deformations of the Superspace of Symbols
• First cohomology of 𝔞𝔣𝔣(1) and 𝔞𝔣𝔣(1|1) acting on linear differential operators

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