The j-Function and the Monster

Graduate Project

Public Deposited

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

Descriptions

Attribute Name	Values
Creator	Scherer, Asa
Abstract	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	Capstone Project
Date Available	2011-02-10T22:15:34+00:00
Date Issued	2010-08-16
Degree Level	Master's
Degree Name	Master of Science (M.S.)
Degree Field	Mathematics
Degree Grantor	Oregon State University
Commencement Year	2010
Advisor	Swisher, Holly M.
Academic Affiliation	Mathematics
Rights Statement	In Copyright
Publisher	Oregon State University
Peer Reviewed	No
Language	English [eng]
Replaces	http://hdl.handle.net/1957/20095

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