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Communications in Algebra Volume 42, 2014 - Issue 11
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Original Articles

Whittaker Categories and Whittaker Modules for Lie Superalgebras

Irfan Bagci Department of Mathematics, University of North Georgia, Oakwood, Georgia, USA
,
Konstantina Christodoulopoulou Department of Mathematics, University of Connecticut, Storrs, Connecticut, USACorrespondence[email protected]
&
Emilie Wiesner Department of Mathematics, Ithaca College, Ithaca, New York, USA
Pages 4932-4947 | Received 23 May 2013, Published online: 23 May 2014
 
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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.

2010 Mathematics Subject Classification:

Notes

Communicated by K. Misra.

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