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

作者：Griess Robert L Jr; Lam Ching Hung^*

来源：Journal of Algebra, 2011, 331(1): 338-361.

DOI：10.1016/j.jalgebra.2010.11.013

• Monster simple group
• Extended E8-diagram
• Leech lattice
• Niemeier lattices
• Moonshine

We continue the program, begun in Griess and Lam (in press) [18], to make a moonshine path between a node of the extended E-8-diagram and the Monster. 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.

• 出版日期2011-4-1
• 单位中国科学院