Mathematics – Representation Theory
Scientific paper
2012-01-25
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.
Bagci Irfan
Christodoulopoulou Konstantina
Wiesner Emilie
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