- Startpagina tijdschrift
- Volume 76 - Année 2007
- About the cohomology of the Lie superalgebra of vector fields on Rn|n
sinds 05 februari 2011 :
Weergave(s): 226 (2 ULiège)
Download(s): 124 (3 ULiège)
Weergave(s): 226 (2 ULiège)
Download(s): 124 (3 ULiège)
Ammar FAOUZI & Kamoun KAOUTHAR 
About the cohomology of the Lie superalgebra of vector fields on Rn|n
(Volume 76 - Année 2007)
Article
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).
Om dit artikel te citeren:
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 : http://popups.ulg.be/0037-9565/index.php?id=450.
Over : Ammar FAOUZI
Université de Sfax, Faculté des Sciences, B.P. 802, Sfax, Tunisie
Over : Kamoun KAOUTHAR
faammar@yahoo.com