# Relative cohomology spaces for some osp($n|2$)-modules

Abstract : In this work, we describe the H-invariant, so(n)-relative cohomology of a natural class of osp(n|2)-modules M, for n ≠ 2. The Lie superalgebra osp(n|2) can be realized as a superalgebra of vector fields on the superline R1|n. This yields canonical actions on spaces of densities and differential operators on the superline. The above result gives the zero, first, and second cohomology spaces for these modules of densities and differential operators.
Document type :
Journal articles

https://hal.archives-ouvertes.fr/hal-01937737
Contributor : Inspire Hep <>
Submitted on : Wednesday, November 28, 2018 - 11:18:47 AM
Last modification on : Thursday, October 17, 2019 - 6:37:36 AM

### Citation

Didier Arnal, Mabrouk Ben Ammar, Wafa Mtaouaa, Zeineb Selmi. Relative cohomology spaces for some osp($n|2$)-modules. J.Math.Phys., 2018, 59 (10), pp.101704. ⟨10.1063/1.5026103⟩. ⟨hal-01937737⟩

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