Journal of the Mathematical Society of Japan

Induced modules for orbifold vertex operator algebras

Ching Hung LAM

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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 irreducible 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.

Article information

Source
J. Math. Soc. Japan, Volume 53, Number 3 (2001), 541-557.

Dates
First available in Project Euclid: 9 June 2008

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1213023722

Digital Object Identifier
doi:10.2969/jmsj/05330541

Mathematical Reviews number (MathSciNet)
MR1828968

Zentralblatt MATH identifier
1002.17015

Subjects
Primary: 17B69: Vertex operators; vertex operator algebras and related structures

Keywords
induced module orbifold theory rational vertex operator algebra

Citation

Hung LAM, Ching. Induced modules for orbifold vertex operator algebras. J. Math. Soc. Japan 53 (2001), no. 3, 541--557. doi:10.2969/jmsj/05330541. https://projecteuclid.org/euclid.jmsj/1213023722


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