MONSTROUS MOONSHINE: THE FIRST TWENTY-FIVE YEARS

2006/01/30 by Terry Gannon · 3 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Nonlinear Waves and Solitons #Mathematics #Subject (documents) #Simple (philosophy) #Modular design #Mathematics Subject Classification #Pure mathematics #Mathematics education #Epistemology #Library science #Computer science #Philosophy

paper · doi:10.1112/s0024609305018217

openalex publication_date 2006/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/04/04

Abstract

Twenty-five years ago, Conway and Norton published in this journal their remarkable paper ‘Monstrous Moonshine’, proposing a completely unexpected relationship between finite simple groups and modular functions. We review the progress made in broadening and understanding that relationship. 2000 Mathematics Subject Classification 11F22, 17B69, 17B67, 81T40.

Citations

• Vertex operator algebras and the zeta function
• Les Houches Lectures on Strings and Arithmetic
• Realizations of the Monster Lie algebra
• Algebras, BPS states, and strings
• Modular functions arising from some finite groups
• Monstrous moonshine and monstrous Lie superalgebras
• Modular moonshine II
• Modular equations and the genus zero property of moonshine functions
• Beauty and the beast: Superconformal symmetry in a monster module
• The friendly giant
• Meromorphicc=24 conformal field theories
• Monstrous Branes

Cited by

• Introduction to sporadic groups for physicists
• Introduction to Sporadic Groups
• Monstrous moonshine [wikipedia]