3C型顶点算子代数的(1/2, 1/16)-可实现群
(1/2, 1/16)-Realizable Group of 3C-Vertex Operator Algebra
DOI: 10.12677/pm.2024.1411381, PDF,   
作者: 高 洋：青岛大学数学与统计学院，山东 青岛
关键词: 顶点算子代数；3-转置群；Ising向量；Vertex Operator Algebra； 3-Transposition Group； Ising Vector
摘要: 本文章的主要目的是证明对称群S3是(1/2, 1/16)-可实现群。本文回顾了有关Ising向量和3-转置群的背景知识，并给出了(γ, δ)-可实现群的定义，然后给出了3C型VOA和其Griess代数的一些局部结构，最后给出了S3是(1/2, 1/16)-可实现群的证明。
Abstract: In this paper, the main purpose is to prove that the group S3 is a (1/2, 1/16)-realizable group. We review the background knowledge about Ising vectors and 3-transposition groups, then introduce the definition of (γ, δ)-realizable group. By Miyamoto’s Results about 3C-VOA and Its Griess algebra, we finally prove that the group S3 is a (1/2, 1/16)-realizable group.
文章引用：高洋. 3C型顶点算子代数的(1/2, 1/16)-可实现群[J]. 理论数学, 2024, 14(11): 118-124. https://doi.org/10.12677/pm.2024.1411381

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