First cohomology of 𝔞𝔣𝔣(1) and 𝔞𝔣𝔣(1|1) acting on linear differential operators-Reference-Cited by-同舟云学术

First cohomology of 𝔞𝔣𝔣(1) and 𝔞𝔣𝔣(1|1) acting on linear differential operators

Published:2016-01 Issue:01 Volume:13 Page:1550130
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,Boujelben Maha²,Derbali Ammar³

Affiliation:

1. Département de Mathématiques, Faculté des Sciences de Gafsa, Zarroug 2112, Tunisie

2. Département de Mathématiques, IPEI Sfax, Tunisie

3. Département de Mathématiques, Faculté des Sciences de Sfax, Tunisie

Abstract

We consider the [Formula: see text]-module structure on the spaces of differential operators acting on the spaces of weighted densities. We compute the first differential cohomology of the Lie superalgebra [Formula: see text] with coefficients in differential operators acting on the spaces of weighted densities. We study also the super analogue of this problem getting the same results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887815501303

Reference11 articles.

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2. Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂1|1 and Deformations of the Superspace of Symbols

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

4. On the Deformation of Rings and Algebras

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1. Cohomology and deformation of (1|1) acting on differential operators;International Journal of Geometric Methods in Modern Physics;2018-04-02

2. Cohomology of (2|1) acting on the space of linear differential operators on the superspace ℝ1|2;International Journal of Geometric Methods in Modern Physics;2016-10-26