Whittaker categories and strongly typical Whittaker modules for Lie superalgebras

Details Whittaker categories and strongly typical Whittaker modules for Lie superalgebras Whittaker categories and strongly typical Whittaker modules for Lie superalgebras

2012-01-25

arxiv.org/abs/1201.5350v1

Mathematics

Representation Theory

Scientific paper

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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