ar X iv : 0 71 2 . 01 44 v 1 [ m at h . R T ] 2 D ec 2 00 7 Graded modules for Virasoro - like algebra ∗
نویسندگان
چکیده
In this paper, we consider the classification of irreducible Zand Z2-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 Z-graded modules of intermediate series. Mathematics Subject Classification: 17B68, 17B65, 17B10 Keyword: graded module, generalized highest weight module, module of intermediate series.
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