Graded modules for Virasoro-like algebra
| dc.creator | Lin, Weiqiang | |
| dc.creator | Su, Yucai | |
| dc.date | 2007-12-02 | |
| dc.date.accessioned | 2026-07-07T08:46:47Z | |
| dc.date.available | 2026-07-07T08:46:47Z | |
| dc.description | In this paper, we consider the classification of irreducible ${\bf Z}$- and ${\bf Z}^2$-graded modules with finite dimensional homogeneous subspaces over the Virasoro-like 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. | |
| dc.description | 17pages, 0 figures | |
| dc.identifier | https://arxiv.org/abs/0712.0144 | |
| dc.identifier | http://arxiv.org/abs/0712.0144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/143369 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B68, 17B65, 17B10 | |
| dc.title | Graded modules for Virasoro-like algebra | |
| dc.type | text |