Graded modules for Virasorolike algebra
Abstract
In this paper, we consider the classification of irreducible ${\bf Z}$ and ${\bf Z}^2$graded modules with finite dimensional homogeneous subspaces over the Virasorolike algebra. We first prove that such a module is a uniformly bounded module or a generalized highest weight module. Then we determine all generalized highest weight irreducible modules. As a consequence, we also determine all the modules with nonzero center. Finally, we prove that there does not exist any nontrivial ${\bf Z}$graded modules of intermediate series.
 Publication:

arXiv eprints
 Pub Date:
 December 2007
 arXiv:
 arXiv:0712.0144
 Bibcode:
 2007arXiv0712.0144L
 Keywords:

 Mathematics  Representation Theory;
 Mathematics  Quantum Algebra;
 17B68;
 17B65;
 17B10
 EPrint:
 17pages, 0 figures