Whittaker Categories and Whittaker Modules for Lie Superalgebras |
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| Authors: | Irfan Bagci Emilie Wiesner |
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| Institution: | 1. Department of Mathematics , University of North Georgia , Oakwood , Georgia , USA;2. Department of Mathematics , Ithaca College , Ithaca , New York , USA |
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| 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, the construction of Whittaker modules from Whittaker modules for the even part. |
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| Keywords: | Lie superalgebras Whittaker categories Whittaker modules |
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