## Abstract

We prove that Zhu's algebra and the C_{2}-algebra of type have the same dimension, and we compute the graded character of the latter. Maximal parabolic subalgebras of the symplectic algebra play a central role in our construction. For the orthogonal algebras our methods do not allow us to describe the whole C_{2}-algebras; we get only a description of a certain quotient of the algebra.

Original language | English |
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Article number | 135206 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 43 |

Issue number | 13 |

DOIs | |

Publication status | Published - 2010 |

Externally published | Yes |

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