Cohomology of the vector fields Lie algebras on ℝ acting on trilinear differential operators, vanishing on 𝔞𝔣𝔣(1)

DOI10.1142/S021988781750150XzbMath1400.17009OpenAlexW2751931632WikidataQ115245356 ScholiaQ115245356MaRDI QIDQ5370565

Imed Basdouri, Hassen Mechi, Elamine Nasri

Publication date: 20 October 2017

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/s021988781750150x

zbMATH Keywords

cohomologydifferential operatorsaffine Lie superalgebraweighted densities

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)

Related Items (2)

First cohomology of the Lie algebra of vector fields on the affine real line relative to affine vector fields with coefficients in bilinear differential operators on weighted densities ⋮ About the 2-cohomology of the orthosymplectic superalgebra

Cites Work

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• 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
• COHOMOLOGY OF THE VECTOR FIELDS LIE ALGEBRAS ON ℝℙ¹ ACTING ON BILINEAR DIFFERENTIAL OPERATORS

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