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On indecomposable modules over the Virasoro algebra

Quantum Algebra 2015-06-26 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.math/0012013,
  title  = {On indecomposable modules over the Virasoro algebra},
  author = {Yucai Su},
  journal= {arXiv preprint arXiv:math/0012013},
  year   = {2015}
}

Comments

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