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Cohomology of the Lie Superalgebra of Contact Vector Fields on ๐<sup>1|1</sup> and Deformations of the Superspace of Symbols
Following Feigin and Fuchs, we compute the first cohomology of the Lie superalgebra K(1) of contact vector fields on the (1,1)-dimensional real or complex superspace with coefficients in the superspace of linear differential operators acting on the superspaces of weighted densities.We also compute the same, but osp(1|2)-relative, cohomology.We explicitly give โฆ