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arXiv · 1207.3909

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

Tomoyuki Arakawa·Ching Hung Lam·Hiromichi Yamada
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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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Tomoyuki Arakawa, Ching Hung Lam, Hiromichi Yamada. 2012-07-17. Zhu's algebra, C_2-algebra and C_2-cofiniteness of parafermion vertex operator algebras. https://arxiv.org/abs/1207.3909

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