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arXiv 1006.3907math.GRmath.NT
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5A及相关8和16秩晶格的月光路径

A moonshine path for 5A and associated lattices of ranks 8 and 16

Robert L. Griess, Ching Hung Lam

摘要:

我们继续在\cite{gl3cpath}中开始的程序,在扩展的$E_8$图的节点和Monster单群之间建立一条月光路径。我们的目标是通过以更具体的形式实现McKay,Glauberman和Norton的理论,为他们的观察提供一个背景。在本文中,我们处理5A节点。本文的主要工作是研究行列式为5的幂的秩为8、16和24的某些格。

英文摘要:

We continue the program, begun in \cite{gl3cpath}, to make a moonshine path between a node of the extended $E_8$-diagram and the Monster simple group. Our goal is to provide a context for observations of McKay, Glauberman and Norton by realizing their theories in a more concrete form. In this article, we treat the 5A-node. Most work in this article is a study of certain lattices of ranks 8, 16 and 24 whose determinants are powers of 5.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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