Whittaker categories and strongly typical Whittaker modules for Lie   superalgebras
  Following analogous constructions for Lie algebras, we define Whittaker modules and Whittaker categories for finite-dimensional simple Lie superalgebras. Results include a decomposition of Whittaker categories for a Lie superalgebra according to the action of an appropriate sub-superalgebra; and, for basic classical Lie superalgebras of type I, a description of the strongly typical simple Whittaker modules. 
Irfan Bagci, Konstantina Christodoulopoulou, Emilie Wiesner
math.RT