Title of article
First Cohomology of the Lie Algebra of Vector Fields on the Affine Real Line Relative to Affine Vector Fields with Coefficients in Bilinear Differential Operators on Weighted Densities
Author/Authors
Basdouri ، Imed Département de Mathématiques - Faculté des Sciences de Gafsa , Hamdouni ، Abdelkader Department of Mathematics - Institut Supérieur des Sciences et Technologies de l’Environnement - Université de Carthage , Nasri ، Elamine Département de Mathématiques - Faculté des Sciences de Gafsa , Missaoui ، Amira Département de Mathématiques - Faculté des Sciences de Sfax
From page
3269
To page
3283
Abstract
The main result of this paper is to compute the a(1)-relative 1−cohomology space of the Lie algebraVect(R),with coefficients in the space of binary bidifferential operators that act on λ−densities,Dλ,ν,μ, vanishing on the 2-dimensional affine Lie algebra a(1).
Keywords
Invariant bidifferential operators , Lie algebra of vector fields , Gelfand–Fuchs cohomology , Deformation
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2775184
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