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arxiv: math/9909007 · v2 · submitted 1999-09-01 · 🧮 math.QA · hep-th

The regular representation, Zhu's A(V)-theory and induced modules

classification 🧮 math.QA hep-th
keywords moduleregularrepresentationinducedtheoryapplicationdefinedfrenkel
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The regular representation is related to Zhu's $A(V)$-theory and an induced module from an $A(V)$-module to a $V$-module is defined in terms of the regular representation. As an application, a new proof of Frenkel and Zhu's fusion rule theorem is obtained.

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