Induced modules for orbifold vertex operator algebras
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- LAM Ching Hung
- Department of Mathematics National Cheng Kung University
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Abstract
Let V be a simple vertex operator algebra and G<Aut V a finite abelian subgroup such that VG is rational. We study the representations of V based on certain assumptions on VG-modules. We prove a decomposition theorem for irre-ducible V-modules. We also define an induced module from VG 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.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 53 (3), 541-557, 2001
The Mathematical Society of Japan
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Details 詳細情報について
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- CRID
- 1390282680092995968
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- NII Article ID
- 10006654794
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 1828968
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- NDL BIB ID
- 5854290
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed