Representations of the virasoro-like algebra and its q-Analog |
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| Authors: | Hechun Zhang Kaiming Zhao |
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| Institution: | 1. Department of Applied Mathematics , Tsinghua University , Beijing, P.R, 100084, China;2. Institute of Systems Science , Academia Sinica , Beijing, P.R, 100080, China |
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| Abstract: | In this paper, some irreducible graded modules with 1-dimensional homogeneous spaces over the Virasoro-like algebra and its q-analogs are constructed. The unitarizability of these modules, and the conditions under which two of such irreducible graded modules are ismorphic are determined. Some other kinds of irreducible graded modules with 1-dimensional homogeneous spaces over the Virasorolike algebra and its q-analogs are also given. |
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