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Whittaker categories and strongly typical Whittaker modules for Lie superalgebras (1201.5350v1)
Published 25 Jan 2012 in math.RT
Abstract: 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.
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