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Brief Review: Terry Gannon 'Moonshine Beyond the Monster'

  1. Mar 2, 2007 #1
    While perusing the 'Never Ending Book' Site, I came across this link to the Terry Gannon ArXiv paper 'Monstrous Moonshine: the first 25 years'.
    http://www.arxiv.org/PS_cache/math/pdf/0402/0402345.pdf

    Lieven le Bruyn refers to this as a survey paper [33 pages with 124 references].
    It appears to form the framework of the Gannon book, ‘Moonshine Beyond the Monster’ [477 pages, 575 references].

    Gannon comprises a masterful effort relating modular forms, E8 and the Leech Lattice to the Monster and VOA for the complex-24D.

    He explains the Cartan-like structure of Borcherds-Kac-Moody algebras.

    He touches upon the concept of imaginary time for D26.

    He does not appear to discuss the string-25D.

    He relates Mathieu groups and the bi-monster as "mini-monster" and "maxi-monster", respectively, but does not address their apparent relation to Golay codes.
     
  2. jcsd
  3. Mar 2, 2007 #2
    A very nice find! Thanks. The paper and the references therein are very helpful.
     
  4. Mar 2, 2007 #3

    Kea

    User Avatar

    Yeah, thanks, Dcase! Fantastic review. Somehow he manages to put

    [tex]196 884 = 196 883 + 1[/tex]

    on the second line. And over 6 pages of references!

    :smile:
     
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