3-transposition groups of symplectic type and vertex operator algebras
3-transposition groups of symplectic type and vertex operator algebras
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DOI：
10.2969/jmsj/1158241926
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发表时间：
2003-11
影响因子：
0.7
通讯作者：
A. Matsuo
中科院分区：
文献类型：
--
作者：
A. Matsuo
Miyamoto所描述的作用于顶点算子代数的3-转置群是在群是无中心的并且VOA具有正定不变Hermitian形式的假设下分类的。这推广和改进了Kitazzawa和Miyamoto的结果。对类似但不同的情况的应用也被认为是通过对论点的轻微概括来部分地考虑的。
The 3-transposition groups that act on a vertex operator algebra in the way described by Miyamoto are classified under the assumption that the group is centerfree and the VOA carries a positive-definite invariant Hermitian form. This generalizes and refines the result of Kitazume and Miyamoto. Application to a similar but different situation is also considered in part by a slight generalization of the argument.