COHOMOLOGY OF $aff(2|1)$ ACTING ON THE SPACE OF LINEAR DIFFERENTIAL OPERATORS ON THE SUPERSPACE $\mathbb{R}^{1|2}$
Résumé
We compute the first cohomology of affine Lie superalgebra aff(2|1) on the (1,2)-dimensional real superspace with coefficients in the superspace D 2 λ;µ of linear differential operators acting on weighted densities.We also compute the same, but aff(1|1)-relative, cohomology. We explicitly give 1-cocycles spanning these cohomology.
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