arXiv:0902.1592 Abstract | arXiv Analytics

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Whittaker Modules For The W-algebra W(2,2)

Published 2009-02-10, updated 2009-02-23Version 2

In this paper, Whittaker modules for the W-algebra W(2,2) are studied. We obtain analogues to several results from the classical setting and the case of the Virasoro algebra, including a classification of simple Whittaker modules by central characters and composition series for general Whittaker modules.

Comments: 12pages. modified the proof of 4.1

Categories: math.RT

Subjects: 17B10, 17B65, 17B68

Keywords: simple whittaker modules, general whittaker modules, virasoro algebra, central characters, composition series

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