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arXiv math/0603588math.QAmath.RT
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顶点算子代数的表示

Representations of vertex operator algebras

Chongying Dong, Cuipo Jiang

摘要:

本文利用结合代数An(V)及其双模讨论了顶点算子代数的表示论.给出了一个关于合理性的新结果。也就是说,单顶点算子代数V是有理的当且仅当它的朱代数A(V)是半单结合代数且每个不可约容许$V$ -模是普通的.

英文摘要:

This paper is an exposition of the representation theory of vertex operator algebras in terms of associative algebras A_n(V) and their bimodules. A new result on the rationality is given. That is, a simple vertex operator algebra V is rational if and only if its Zhu algebra A(V) is a semisimple associative algebra and each irreducible admissible $V$-module is ordinary.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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