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Z-graded weak modules and regularity

Published 13 Apr 2011 in math.QA and math.RT | (1104.2369v1)

Abstract: It is proved that if any Z-graded weak module for vertex operator algebra V is completely reducible, then V is rational and C_2-cofinite. That is, V is regular. This gives a natural characterization of regular vertex operator algebras.

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Authors (2)

  1. Chongying Dong 
  2. Nina Yu 

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