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The j-Function and the Monster Public Deposited

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https://ir.library.oregonstate.edu/concern/graduate_projects/2b88qj31m

2010

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  • 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.
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  • 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 : 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)
  • 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

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