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Zhu's algebra, C_2-algebra and C_2-cofiniteness of parafermion vertex operator algebras

Published 17 Jul 2012 in math.QA and math.RT | (1207.3909v1)

Abstract: We determine Zhu's algebra and C_2-algebra of parafermion vertex operator algebras for sl_2. Moreover, we prove the C_2-cofiniteness of parafermion vertex operator algebras for any finite dimensional simple Lie algebras.

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