The j-Function and the Monster Public Deposited

http://ir.library.oregonstate.edu/concern/undergraduate_thesis_or_projects/2b88qj31m

Descriptions

Attribute NameValues
Creator
Abstract or Summary
  • The first published notion that the j-function was in any way related to the Monster came in 1979, when Conway and Norton noted in [CN79] that each coefficient in the q- expansion of the j-function could be written as a (nontrivial) integral linear combination of the dimensions of irreducible representations of the Monster. For example, the first relevant coefficient, 196884, can be written 196883+1, where 196883 is the dimension of the smallest non-trivial representation of the Monster, and 1 is the dimension of the trivial representation. This observation led to their conjecture, which they titled monstrous moonshine. Here we give an introduction to monstrous moonshine.
Resource Type
Date Available
Date Issued
Academic Affiliation
Keyword
Rights Statement
Peer Reviewed
Language
Replaces
Additional Information
  • description.provenance : Approved for entry into archive by Sue Kunda(sue.kunda@oregonstate.edu) on 2011-02-10T22:15:34Z (GMT) No. of bitstreams: 1 The j-Function and the Monster.pdf: 226517 bytes, checksum: a4d395869d8d1fac03e9976e9250b005 (MD5)
  • description.provenance : Made available in DSpace on 2011-02-10T22:15:34Z (GMT). No. of bitstreams: 1 The j-Function and the Monster.pdf: 226517 bytes, checksum: a4d395869d8d1fac03e9976e9250b005 (MD5) Previous issue date: 2010-08-16
  • description.provenance : Submitted by Kevin Campbell (kevin.campbell@oregonstate.edu) on 2011-02-09T22:05:13Z No. of bitstreams: 1 The j-Function and the Monster.pdf: 226517 bytes, checksum: a4d395869d8d1fac03e9976e9250b005 (MD5)

Relationships

In Administrative Set:
Last modified: 12/13/2017

Downloadable Content

Download PDF
Citations:

EndNote | Zotero | Mendeley

Items