Zhu's algebra, C₂-algebra and C₂-cofiniteness of parafermion vertex operator algebras

2012/07/17 by Arakawa, Tomoyuki, Lam, Ching Hung, Yamada, Hiromichi · 1 citation
#17B69 (Primary) 17B67 (Secondary) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1207.3909

Abstract

We determine Zhu's algebra and C₂-algebra of parafermion vertex operator algebras for sl₂. Moreover, we prove the C₂-cofiniteness of parafermion vertex operator algebras for any finite dimensional simple Lie algebras.

Cited by

• Positivity of coinvariant divisors on M_0,n and the parafermions

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• On C₂-cofiniteness of parafermion vertex operator algebras
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• Generalized vertex algebras generated by parafermion-like vertex operators