Describes the general theory of Moonshine and its underlying concepts for graduate students and researchers; now reissued as Open Access.
Acknowledgements; Introduction: glimpses of the theory beneath Monstrous moonshine; 1. Classical algebra; 2. Modular stuff; 3. Gold and brass: affine algebras and generalisations; 4. Conformal field theory: The physics of Moonshine; 5. Vertex operator algebras; 6. Modular group representations throughout the realm; 7. Monstrous Moonshine; Epilogue; Notation; References; Index.
"An excellent introduction to this area for anyone who is looking
for an informal survey... written in a lively and readable
style."
R.E. Boucherds, University of California at Berkeley for the
Bulletin of the AMS
"Gannon wants to explain to us "what is really going on." His book
is like a conversation at the blackboard, with ideas being
explained in informal terms, proofs being sketched, and unknowns
being explored. Given the complexity and breadth of this material,
this is exactly the right approach. The result is informal,
inviting, and fascinating."
Fernando Q. Gouvea, MAA Reviews
"It is written in a breezy, informal style which eschews the
familiar Lemma-Theorem-Remark style in favor of a more relaxed and
continuous narrative which allows a wide range of material to be
included. Gannon has written an attractive and fun introduction to
what is an attractive and fun area of research."
Geoffrey Mason, Mathematical Reviews
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