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

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arxiv 0902.1592 v2 pith:ZG3SGKN2 submitted 2009-02-10 math.RT

classification math.RT
keywords moduleswhittakerw-algebraalgebraanaloguescasecentralcharacters
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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.

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  1. New simple modules for the $W$-algebra $W(2,2)$

    math.RT 2025-06 conditional novelty 6.0 of 10

    For W(2,2), tensor products of non-weight modules Omega(lambda,alpha,h) with a simple restricted module are simple exactly when the lambda parameters are pairwise distinct, and isomorphism classes are classified by th...

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