Moonshine Of Finite Groups
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Moonshine Of Finite Groups
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Author : Koichiro Harada
language : en
Publisher: European Mathematical Society
Release Date : 2010
Moonshine Of Finite Groups written by Koichiro Harada and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This is an almost verbatim reproduction of the author's lecture notes written in 1983-84 at Ohio State University, Columbus. A substantial update is given in the bibliography. Over the last 20 plus years there has been energetic activity in the field of finite simple group theory related to the monster simple group. Most notably, influential works have been produced in the theory of vertex operator algebras from research that was stimulated by the moonshine of the finite groups. Still, we can ask the same questions now that we did 30-40 years ago: What is the monster simple group? Is it really related to the theory of the universe as it was vaguely so envisioned? What lies behind the moonshine phenomena of the monster group? It may appear that we have only scratched the surface. These notes are primarily reproduced for the benefit of readers who wish to start learning about modular functions used in moonshine.
Moonshine Of Finite Groups
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Author : Koichiro Harada
language : en
Publisher:
Release Date : 1985*
Moonshine Of Finite Groups written by Koichiro Harada and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985* with Forms, Modular categories.
Moonshine Beyond The Monster
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Author : Terry Gannon
language : en
Publisher: Cambridge University Press
Release Date : 2023-07-27
Moonshine Beyond The Monster written by Terry Gannon and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-27 with Mathematics categories.
A monograph on Moonshine, a mathematical physics topic, for graduate students and researchers.
Moonshine The Monster And Related Topics
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Author : Chongying Dong
language : en
Publisher: American Mathematical Soc.
Release Date : 1996
Moonshine The Monster And Related Topics written by Chongying Dong and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
This is the proceedings of a Joint Summer Research Conference held at Mount Holyoke College in Jun 1994. As perhaps the first conference proceedings devoted exclusively to the subject known as "Moonshine", this work contains something for many mathematicians and physicists. Many of the results featured are not available elsewhere.
Vertex Operators In Mathematics And Physics
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Author : J. Lepowsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08
Vertex Operators In Mathematics And Physics written by J. Lepowsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-08 with Science categories.
James Lepowsky t The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standard approach of Lie theory, one looks for infinitesimal symmetry -- Lie algebras of operators or concrete realizations of abstract Lie algebras. A central theme in this volume is the construction of affine Lie algebras using formal differential operators called vertex operators, which originally appeared in the dual-string theory. Since the precise description of vertex operators, in both mathematical and physical settings, requires a fair amount of notation, we do not attempt it in this introduction. Instead we refer the reader to the papers of Mandelstam, Goddard-Olive, Lepowsky-Wilson and Frenkel-Lepowsky-Meurman. We have tried to maintain consistency of terminology and to some extent notation in the articles herein. To help the reader we shall review some of the terminology. We also thought it might be useful to supplement an earlier fairly detailed exposition of ours [37] with a brief historical account of vertex operators in mathematics and their connection with affine algebras. Since we were involved in the development of the subject, the reader should be advised that what follows reflects our own understanding. For another view, see [29].1 t Partially supported by the National Science Foundation through the Mathematical Sciences Research Institute and NSF Grant MCS 83-01664. 1 We would like to thank Igor Frenkel for his valuable comments on the first draft of this introduction.
Groups And Symmetries
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Author : John P. Harnad
language : en
Publisher: American Mathematical Soc.
Release Date :
Groups And Symmetries written by John P. Harnad and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Selected Papers On Number Theory Algebraic Geometry And Differential Geometry
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Author : Katsumi Nomizu
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
Selected Papers On Number Theory Algebraic Geometry And Differential Geometry written by Katsumi Nomizu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This book presents papers that originally appeared in the Japanese journal Sugaku. The papers explore the relationship between number theory, algebraic geometry, and differential geometry.
Groups Difference Sets And The Monster
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Author : K.T. Arasu
language : en
Publisher: Walter de Gruyter
Release Date : 2011-06-24
Groups Difference Sets And The Monster written by K.T. Arasu and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-24 with Mathematics categories.
This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Representation Theory And Harmonic Analysis Of Wreath Products Of Finite Groups
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Author : Tullio Ceccherini-Silberstein
language : en
Publisher: Cambridge University Press
Release Date : 2014-01-16
Representation Theory And Harmonic Analysis Of Wreath Products Of Finite Groups written by Tullio Ceccherini-Silberstein and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-16 with Mathematics categories.
A self-contained introduction to the representation theory and harmonic analysis of wreath products of finite groups, with examples and exercises.
Conformal Field Theory
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Author : Yavuz Nutku
language : en
Publisher: CRC Press
Release Date : 2018-03-14
Conformal Field Theory written by Yavuz Nutku and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-14 with Science categories.
This book provides an understanding of conformal field theory and its importance to both statistical mechanics and string theory. It introduces the Wess-Zumino-Novokov-Witten (WZNW) models and their current algebras, the affine Kac-Moody algebras.