论文标题
在VOA理论中产生的3个转移群
3-transposition groups arising in VOA theory
论文作者
论文摘要
我们回顾了在顶点操作员代数理论中产生的3个转移组。一个人可以从一个3 transposition组中构建一个称为Matsuo代数的交换代数。一些三个置位基团以Matsuo代数为顶点算子代数的自动形态群，但存在一些三个转置基团，这些组不会通过Matsuo代数而产生。我们将与VOA一起展示这些群体的例子。本文基于作者在``Majorana，Axial，Vertex代数和Monster（Mavam）''的研讨会上的演讲，于2021年6月4日在线举行。
We review 3-transposition groups arising in vertex operator algebra theory. One can construct a commutative algebra called the Matsuo algebra out of a 3-transposition group. Some 3-transposition groups arise as automorphism groups of vertex operator algebras via Matsuo algebras but there exist some 3-transposition groups which do not arise through Matsuo algebras. We will exhibit examples of those groups together with VOAs. This article is based on the author's talk at the seminar on ``Majorana, Axial, Vertex Algebras and the Monster (MAVAM)'' held online on June 4th, 2021.
