arXiv (Cornell University) · 2014 · 13 citations · 25 references
Natural SciencesMathematicsAlgebraFormal MethodsRepresentation TheoryGauge TheoryLie AlgebrasLie GroupsQuantum Field TheoryFinite-dimensional Lie AlgebrasFusion RulesIrreducible RepresentationsLie Algebra ModulesVertex ModelsVertex Representation
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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Pavel Etingof, Dmitri Nikshych, Viktor Ostrik · Annals of Mathematics · 2005 · 772 citations · Full text
Twisted representations of vertex operator algebras
Chongying Dong, Haisheng Li, Geoffrey Mason · Mathematische Annalen · 1998 · 443 citations