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Ammar FAOUZI & Kamoun KAOUTHAR

About the cohomology of the Lie superalgebra of vector fields on Rn|n

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Mots-clés : titanite, rutile, anatase, brookite, Bertrix, Ardennes, Belgique, Belgium

Abstract

In this paper, we compute the first space of cohomology of Vect(Rn|n), the Lie superalgebra of vector fields on the supermanifold Rnjn with coeffcients in F(Rn|n), the space of smooth functions on Rn|n.  We give a super analog of the cohomologies of vector fields that where studied for instance by D.B. Fuchs

This work allows us to classify the deformations of the action of

Vect(Rn|n) on F(Rn|n).

To cite this article

Ammar FAOUZI & Kamoun KAOUTHAR, «About the cohomology of the Lie superalgebra of vector fields on Rn|n», Bulletin de la Société Royale des Sciences de Liège [En ligne], Volume 76 - Année 2007, 12-20 URL : https://popups.uliege.be/0037-9565/index.php?id=450.

About: Ammar FAOUZI

Université de Sfax, Faculté des Sciences, B.P. 802, Sfax, Tunisie

About: Kamoun KAOUTHAR

faammar@yahoo.com