On indecomposable modules over the Virasoro algebra

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

5 pages, Latex, to appear in Science in China A

References in corpus (1)

• On indecomposable modules over the Virasoro algebra

Cited by in corpus (3)

• Classification of Harish-Chandra Modules over the Higher Rank Virasoro Algebras
• On indecomposable modules over the Virasoro algebra
• Classification of quasifinite $W_{\infty }$-modules