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Following analogous constructions for Lie algebras, we define Whittakermodules and Whittaker categories for finite-dimensional simple Liesuperalgebras. Results include a decomposition of Whittaker categories for aLie superalgebra according to the action of an appropriate sub-superalgebra;and, for basic classical Lie superalgebras of type I, a description of thestrongly typical simple Whittaker modules.

Whittaker categories and strongly typical Whittaker modules for Lie superalgebras