期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：1980
卷号：77
期号：9
页码：5048-5049
DOI：10.1073/pnas.77.9.5048
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：By the method of second quantization we construct an infinite-dimensional graded module for the centralizer of an involution of the Fischer-Griess "Monster" simple group F1 so that the Thompson series are those conjectured by Conway and Norton. As a consequence we obtain some identities and congruences relating modular functions j and {eta}. We are hopeful that this representation can be extended to the whole group F1, proving all the conjectures by Conway and Norton in their recent paper [Conway, J. H. & Norton, S. P. (1979) Bull. London Math. Soc. 11, 308-339].
关键词：Fischer-Griess simple group F 1 ; Thompson series ; Leech lattice ; Dedekind's η-function ; second quantization
