Induced modules for orbifold vertex operator algebras

  title={Induced modules for orbifold vertex operator algebras},
  author={Ching Hung Lam},
  journal={Journal of The Mathematical Society of Japan},
  • C. Lam
  • Published 1 July 2001
  • Mathematics
  • Journal of The Mathematical Society of Japan
. Let V be a simple vertex operator algebra and G < Aut V a ®nite abelian subgroup such that V G is rational. We study the representations of V based on certain assumptions on V G -modules. We prove a decomposition theorem for irreducible V -modules. We also de®ne an induced module from V G to V and show that every irreducible V -module is a quotient module of some induced module. In addition, we prove that V is rational in this case. 


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