N ov 2 00 7 The classification of Z − graded modules of the intermediate series over the q - analog Virasoro - like algebra ∗ ∗
نویسنده
چکیده
In this paper, we complete the classification of the Z-graded modules of the intermediate series over the q-analog Virasoro-like algebra L. We first construct four classes of irreducible Z-graded L-modules of the intermediate series. Then we prove that any Z-graded L-modules of the intermediate series must be the direct sum of some trivial L-modules or one of the modules constructed by us.
منابع مشابه
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 ∗
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 nonz...
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تاریخ انتشار 2008