On indecomposable modules over the Virasoro algebra

Mathematics – Quantum Algebra

Scientific paper

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

Scientific paper

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

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