Title

Whittaker modules for the virasoro algebra

Document Type

Article

Publication Date

6-26-2009

Abstract

Whittaker modules have been well studied in the setting of complex semisimple Lie algebras. Their definition can easily be generalized to certain other Lie algebras with triangular decomposition, including the Virasoro algebra. We define Whittaker modules for the Virasoro algebra and obtain analogues to several results from the classical setting, including a classification of simple Whittaker modules by central characters and composition series for general Whittaker modules. © World Scientific Publishing Company.

Publication Name

Journal of Algebra and its Applications

Volume Number

8

First Page

363

Last Page

377

Issue Number

3

DOI

10.1142/S0219498809003370

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