Cohomology of the vector fields Lie algebras on ℝ acting on trilinear differential operators, vanishing on 𝔞𝔣𝔣(1)-Reference-Cited by-同舟云学术

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

Published:2017-09-13 Issue:10 Volume:14 Page:1750150
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Basdouri Imed¹,Nasri Elamine¹,Mechi Hassen²

Affiliation:

1. Laboratoire Algebra Geometry and Theory Spectral Sfax, Tunisie, Département de Mathématiques, Faculté des Sciences de Gafsa 2112, Université de Gafsa, Tunisie

2. Unité de Recherche Mathématiques et Applications, Département de Mathématiques, Faculté des Sciences de Gabés 6029, Université de Gabés, Tunisie

Abstract

The main topic of this paper is to compute the first relative cohomology group of the Lie algebra of smooth vector fields [Formula: see text], with coefficients in the space of trilinear differential operators that act on tensor densities, [Formula: see text], vanishing on the Lie algebra [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021988781750150X

Reference4 articles.

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

2. THE LINEAR $\mathfrak{aff}(n|1)$-INVARIANT DIFFERENTIAL OPERATORS ON WEIGHTED DENSITIES ON THE SUPERSPACE ℝ1|n AND $\mathfrak{aff}(n|1)$-RELATIVE COHOMOLOGY

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