Induced modules for orbifold vertex operator algebras

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概要

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• Let V be a simple vertex operator algebra and G<Aut V a finite abelian subgroup such that V<SUP>G</SUP> is rational. We study the representations of V based on certain assumptions on V<SUP>G</SUP>-modules. We prove a decomposition theorem for irre-ducible V-modules. We also define an induced module from V<SUP>G</SUP> 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.

• 社団法人 日本数学会の論文

著者

• Lam Ching

  Department Of Mathematics National Cheng Kung University

• Lam Ching

  Department Of Chemical Pathology Prince Of Wales Hospital The Chinese University Of Hong Kong Hong K

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