Moonshine - The First Quarter Century and Beyond: Proceedings of a Workshop on the Moonshine Conjectures and Vertex Algebras

doi:10.1017/CBO9780511730054

Moonshine - The First Quarter Century and Beyond

Proceedings of a Workshop on the Moonshine Conjectures and Vertex Algebras

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Boya, Luis J 2013. Introduction to sporadic groups for physicists. Journal of Physics A: Mathematical and Theoretical, Vol. 46, Issue. 13, p. 133001.

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Edited by James Lepowsky, Rutgers University, New Jersey, John McKay, Concordia University, Montréal, Michael P. Tuite, National University of Ireland, Galway

Publisher:: Cambridge University Press
Online publication date:: July 2010
Print publication year:: 2010
Online ISBN:: 9780511730054
DOI:: https://doi.org/10.1017/CBO9780511730054

Subjects:: Mathematics (general), Mathematics, Physics and Astronomy, Theoretical Physics and Mathematical Physics, Algebra
Series:: London Mathematical Society Lecture Note Series (372)

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The theory of 'Monstrous Moonshine' has been a major development in mathematics since 1979. Beginning with remarkable conjectures relating finite group theory and number theory that stimulated an outpouring of new ideas, 'Monstrous Moonshine' deeply involves many different areas of mathematics, as well as string theory and conformal field theory in physics. It has changed the landscape of many fields. This volume consists of 17 papers by research leaders, based on talks presented at a workshop held to mark the anniversary of the 'Monstrous Moonshine' conjectures. The papers, which include surveys of many important developments, will give the reader a view of a wide range of current activity and promising directions for future research.

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Moonshine - The First Quarter Century and Beyond

Proceedings of a Workshop on the Moonshine Conjectures and Vertex Algebras

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-ix

Schedule of Talks
pp x-xii

Characters of Crossed Modules and Premodular Categories
pp 1-11

On the Injectivity of the Kudla-Millson Lift and Surjectivity of the Borcherds Lift
pp 12-39

Ordered Spanning Sets for Vertex Operator Algebras and their Modules
pp 40-54

Friendly Giant Meets Pointlike Instantons? On a New Conjecture by John McKay
pp 55-127

Modularity of Trace Functions in Orbifold Theory for ℤ-Graded Vertex Operator Superalgebras
pp 128-143

Twisted Modules for Vertex Operator Algebras
pp 144-187

Vertex Operators and Sporadic Groups
pp 188-203

The Algebraic Meaning of Being a Hauptmodul
pp 204-218

Borcherds' Proof of the Conway-Norton Conjecture
pp 219-235

On the Connection of Certain Lie Algebras with Vertex Algebras
pp 236-254

Vertex Operators and Arithmetic: How a Single Photon Illuminates Number Theory
pp 255-269

Rational Vertex Operator Algebras and their Orbifolds
pp 270-281

Quasi-finite Algebras Graded by Hamiltonian and Vertex Operator Algebras
pp 282-329

On Certain Automorphic Forms Associated to Rational Vertex Operator Algebras
pp 330-357

Moonshine and Group Cohomology
pp 358-377

Monstrous and Generalized Moonshine and Permutation Orbifolds
pp 378-392

New computations in the Monster
pp 393-403

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Moonshine - The First Quarter Century and Beyond

Proceedings of a Workshop on the Moonshine Conjectures and Vertex Algebras

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