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arxiv: 1412.8154 · v2 · pith:JV3EPVXDnew · submitted 2014-12-28 · 🧮 math.QA · math.RT

The irreducible modules and fusion rules for the parafermion vertex operator algebras

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keywords algebrafusionirreduciblemodulesoperatorparafermionrulesvertex
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The irreducible modules for the parafermion vertex operator algebra associated to any finite dimensional Lie algebra and any positive integer are identified, the quantum dimensions are computed and the fusion rules are determined.

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