36 citations · 94 across the 20 of their papers we have counts for
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Deformation of sl(2) and osp(1|2)-Modules of Symbols
Imed Basdouri, Mabrouk Ben Ammar
We consider the sl(2)-module structure on the spaces of symbols of differential opera- tors acting on the spaces of weighted densities. We compute the necessary and sufficient inte…
Cohomology of acting on linear differential operators on the supercircle $S^{1|1}
Imed Basdouri, Mabrouk Ben Ammar
We compute the first cohomology spaces () of the Lie superalgebra with coefficients in the su…
Deformation of Vect(-Modules of Symbols
Imed Basdouri, Mabrouk Ben Ammar, Béchir Dali +1
We consider the action of the Lie algebra of polynomial vector fields, , by the Lie derivative on the space of symbols $\mathcal{S}_δ^n=\bigoplus_{j=0}^n \mathc…
Cohomology of the Lie Superalgebra of Contact Vector Fields on and Deformations of the Superspace of Symbols
Imed Basdouri, Mabrouk Ben Ammar, Nizar Ben Fraj +2
Following Feigin and Fuchs, we compute the first cohomology of the Lie superalgebra of contact vector fields on the (1,1)-dimensional real superspace with coeffici…