Whittaker Modules for Graded Lie Algebras
Representation Theory
2009-03-04 v2
Abstract
In this paper, we study Whittaker modules for graded Lie algebras. We define Whittaker modules for a class of graded Lie algebras and obtain a bijective correspondence between the set of isomorphism classes of Whittaker modules and the set of ideals of a polynomial ring, parallel to a result from the classical setting and the case of the Virasoro algebra. As a consequence of this, we obtain a classification of simple Whittaker modules for such algebras. Also, we study some concrete algebras as examples.
Cite
@article{arxiv.0902.3801,
title = {Whittaker Modules for Graded Lie Algebras},
author = {Bin Wang},
journal= {arXiv preprint arXiv:0902.3801},
year = {2009}
}
Comments
11pages, fixed a number of errors