On the cohomology of the orthosymplectic superalgebra |
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| Authors: | Imed Basdouri Essayed Sayari |
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| Affiliation: | 1. D??partement de Math??matiques, Facult?? des Sciences de Gafsa, Zarroug 2112, Gafsa, Tunisia
2. D??partement de Math??matiques, Universit?? de Cergy-Pontoise, Site de Saint Martin 2 avenue Adolphe Chauvin, 95302, Cergy-Pontoise Cedex, France
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| Abstract: | Let $mathfrak{F}_{lambda}^{n}$ be the $mathop {mathfrak {osp}}nolimits ,(n|2)$ -module of weighted densities on ?1|n of weight ??. We compute the cohomology spaces $mathrm{H}^{k}_{mathrm{diff}}left(mathop {mathfrak {osp}}nolimits ,(n|2),mathfrak{F}_{lambda}^{n}right)$ , where k=1 and n=0,1,2 or k=2 and n=0,1. We explicitly give cocycles spanning these cohomology spaces. |
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