Vertex operator algebras and Griess algebras generated by Ising vectors

博士 === 國立臺灣大學 === 數學研究所 === 101 === 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 alge...

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Main Authors:	Che-Sheng Su, 蘇哲聖
Other Authors:	S. J. Cheng
Format:	Others
Language:	zh-TW
Published:	2013
Online Access:	http://ndltd.ncl.edu.tw/handle/77383208566442974694

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spelling	ndltd-TW-101NTU054790202015-10-13T23:10:17Z http://ndltd.ncl.edu.tw/handle/77383208566442974694 Vertex operator algebras and Griess algebras generated by Ising vectors 由Ising向量生成的頂點算子代數及Griess代數 Che-Sheng Su 蘇哲聖博士國立臺灣大學數學研究所 101 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. S. J. Cheng 程舜仁 2013 學位論文 ; thesis 109 zh-TW
collection	NDLTD
language	zh-TW
format	Others
sources	NDLTD
description	博士 === 國立臺灣大學 === 數學研究所 === 101 === 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.
author2	S. J. Cheng
author_facet	S. J. Cheng Che-Sheng Su 蘇哲聖
author	Che-Sheng Su 蘇哲聖
spellingShingle	Che-Sheng Su 蘇哲聖 Vertex operator algebras and Griess algebras generated by Ising vectors
author_sort	Che-Sheng Su
title	Vertex operator algebras and Griess algebras generated by Ising vectors
title_short	Vertex operator algebras and Griess algebras generated by Ising vectors
title_full	Vertex operator algebras and Griess algebras generated by Ising vectors
title_fullStr	Vertex operator algebras and Griess algebras generated by Ising vectors
title_full_unstemmed	Vertex operator algebras and Griess algebras generated by Ising vectors
title_sort	vertex operator algebras and griess algebras generated by ising vectors
publishDate	2013
url	http://ndltd.ncl.edu.tw/handle/77383208566442974694
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Vertex operator algebras and Griess algebras generated by Ising vectors

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