On indecomposable modules over the Virasoro algebra

preprint2000arXivOpen access

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\cal O, or (iii) a module in Category O−{\cal O}^-, or (iv) a module which contains the trivial module as one of its composition factors.

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