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

Ching Hung Lam; Hiromichi Yamada; Tomoyuki Arakawa

arxiv: 1207.3909 · v1 · pith:7PXEBT2Fnew · submitted 2012-07-17 · 🧮 math.QA · math.RT

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

Tomoyuki Arakawa , Ching Hung Lam , Hiromichi Yamada This is my paper

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keywords algebraalgebrasoperatorparafermionvertexcofinitenessdeterminedimensional

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

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