Cohomology of orthosymplectic Lie superalgebra acting on λ-densities on ℝ1|n-Reference-Cited by-同舟云学术

Cohomology of orthosymplectic Lie superalgebra acting on λ-densities on ℝ1|n

Published:2016-12-20 Issue:01 Volume:14 Page:1750016
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:

El Gomdi Nabila¹,Messaoud Rim²

Affiliation:

1. Département de Mathématiques, Faculté des Sciences de Sfax, Université de Sfax, laboratoire Algebra Geometry and Theory Spectral, BP 802, Sfax 3038, Tunisie

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

Abstract

We compute the first differential cohomology of the orthosymplectic Lie superalgebra [Formula: see text] with coefficients in the superspace of weighted densities [Formula: see text] on the (1, 2)-dimensional real superspace. We explicitly give 1-cocycles spanning these cohomologies. This work is the simplest generalization of a result by Basdouri and Essayari [On cohomology of the orthosymplectic superalgebra, Acta Math. Hungar. 130(1–2) (2011) 155–166].

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887817500165

Reference5 articles.

1. On the cohomology of the orthosymplectic superalgebra

2. Cohomology of $${\mathfrak{osp}}(1|2)$$ Acting on Linear Differential Operators on the Supercircle S 1|1

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

4. The binary invariant differential operators on weighted densities on the superspace R1∣n and cohomology

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