The category of representations with a strongly typical central character of a basic classical Lie superalgebra is proven to be equivalent to the category of representations of its even part corresponding to an appropriate central character. For a Lie superalgebra $osp(1,2l)$ the category of representations with a "generic" weakly atypical central character is described.
Centralizers of nilpotent elements in basic classical Lie superalgebras in good characteristic
Simple bounded highest weight modules of basic classical Lie superalgebras
Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras
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