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Moonshine beyond the Monster

Moonshine beyond the Monster
The Bridge Connecting Algebra, Modular Forms and Physics

$81.99 (C)

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: April 2010
  • availability: Available
  • format: Paperback
  • isbn: 9780521141888

$ 81.99 (C)
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About the Authors
  • Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster, the first book of its kind, describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between modern mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry, and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.

    • This was the first authored book on Moonshine and it will have wide appeal
    • A burgeoning research area, showing the connectedness of a variety of topics
    • Written in a clear and pedagogical style, emphasising the fundamental ideas and interesting examples
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    Reviews & endorsements

    "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

    "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

    "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

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    Product details

    • Date Published: April 2010
    • format: Paperback
    • isbn: 9780521141888
    • length: 492 pages
    • dimensions: 244 x 170 x 25 mm
    • weight: 0.78kg
    • availability: Available
  • Table of Contents

    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.

  • Author

    Terry Gannon, University of Alberta

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