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 whi...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.展开更多
基金This work was supported by a Fund from Education Ministry of China.
文摘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.