On 𝔬𝔰𝔭(1 | 2)-Relative Cohomology on S 1|1 |
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| Authors: | Imed Basdouri |
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| Institution: | 1. Département de Mathématiques, Faculté des Sciences de Gafsa , Gafsa , Tunisia basdourimed@yahoo.fr |
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| Abstract: | We compute the second 𝔬𝔰𝔭(1 | 2) ?relative cohomology space of 𝒦(1) with coefficients in the module of λ-densities 𝔉λ on S 1|1. This result allows us to compute the second 𝔬𝔰𝔭(1 | 2) ?relative cohomology space of 𝒦(1) with coefficients in the Poisson superalgebra 𝒮𝒫. We explicitly give 2-cocycles spanning these cohomology spaces. |
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| Keywords: | Cohomology Lie superalgebra |
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