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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 數學系
Please use this identifier to cite or link to this item: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/6286
Title: 由Ising向量生成的頂點算子代數及Griess代數
Vertex operator algebras and Griess algebras generated by Ising vectors
Authors: Che-Sheng Su
蘇哲聖
Advisor: 程舜仁(S. J. Cheng)
Keyword: 頂點算子代數,
vertex operator algebra,Griess algebra,Ising vector,Virasoro algebra,
Publication Year : 2013
Degree: 博士
Abstract: In this dissertation, we study Griess algebras generated by Ising vectors. We consider two different cases. In the first case, we study Griess algebras generated by 3 Ising vectors with a common central 2A axial element. In the second case, we consider Griess algebras generated by two 3A-algebras with a common 3A axial element. In both cases, we classified all possible Griess algebras, up to isomorphism, and related them the McKay's E7 and E6 observations about the Baby Monster and the Fischer group.
URI: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/6286
Fulltext Rights: 同意授權(全球公開)
Appears in Collections:數學系

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