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On indecomposable modules over the Virasoro algebra

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Abstract

It is proved that an indecomposable Harish- Chandra module over the Virasoro algebra must be (i) a uniformly bounded module, or (ii) a module in Category\(O\), or (iii) a module in Category\(O\), or ( iv) a module which contains the trivial module as one of its composition factors.

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  1. Department of Applied Mathematics, Shanghai Jiaotong University, 200030, Shanghai, China

    Su Yucai

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  1. Su Yucai
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Correspondence to Su Yucai.

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Su, Y. On indecomposable modules over the Virasoro algebra. Sci. China Ser. A-Math. 44, 980–983 (2001). https://doi.org/10.1007/BF02878973

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  • DOI: https://doi.org/10.1007/BF02878973

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