Maschke functors, semisimple functors and separable functors of the second kind. Abstract We introduce separable functors of the second kind (or H-separable functors) and H-Maschke functors. H-separable functors are generalizations of separable functors. Various necessary and sufficient conditions for a functor to be H-separable or H-Maschke, in terms of generalized (co)Casimir elements (integr...

We give a new construction for the n-th Taylor polynomial, in the sense of Goodwillie calculus, for homotopy functors from spectra to spectra. We then use this model to classify n-excisive functors of module categories of functors with smash product (FSPs) by bi-modules of explicit FSPs. Introduction: In [Cal3], T. Goodwillie constructs a Taylor tower for functors from spectra to spectra. The l...