Computations of sheaves associated to the representation theory of sl2

We explicitly compute examples of sheaves over the projectivization of the spectrum of the cohomology of sl2. In particular, we compute kerΘM for every indecomposable M and we compute Fi(M) when M is an indecomposable Weyl module and i≠p. We also give a brief review of the classification of sl2-modules and of the general theory of such sheaves in the case of a restricted Lie algebra.