Cohomology of $${\mathfrak{osp}}(1|2)$$ Acting on Linear Differential Operators on the Supercircle S1|1 |
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Authors: | Imed Basdouri Mabrouk Ben Ammar |
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Institution: | (1) Département de Mathématiques, Faculté des Sciences de Sfax, BP 802, 3038 Sfax, Tunisie |
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Abstract: | We compute the first cohomology spaces
of the Lie superalgebra with coefficients in the superspace of linear differential operators acting on weighted densities on the supercircle S
1|1. The structure of these spaces was conjectured in (Gargoubi et al. in Lett Math Phys 79:5165, 2007). In fact, we prove here
that the situation is a little bit more complicated.
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Keywords: | Mathematics Subject Classifications (2000)" target="_blank">Mathematics Subject Classifications (2000) 53D55 |
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