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

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

2010-06-20

arxiv.org/abs/1006.3907v1

Mathematics

Group Theory

Scientific paper

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.

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