Mathematical Sciences Research Institute Publications

Vertex Operators in Mathematics and Physics

Proceedings of a Conference November 10–17, 1983

Editors: Lepowsky, J., Mandelstam, S., Singer, I.M. (Eds.)

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About this book

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.

Table of contents (23 chapters)

Table of contents (23 chapters)

Buy this book

eBook 96,29 €
price for Spain (gross)
  • ISBN 978-1-4613-9550-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 126,35 €
price for Spain (gross)
  • ISBN 978-1-4613-9552-2
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Vertex Operators in Mathematics and Physics
Book Subtitle
Proceedings of a Conference November 10–17, 1983
Editors
  • J. Lepowsky
  • S. Mandelstam
  • I.M. Singer
Series Title
Mathematical Sciences Research Institute Publications
Series Volume
3
Copyright
1985
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4613-9550-8
DOI
10.1007/978-1-4613-9550-8
Softcover ISBN
978-1-4613-9552-2
Series ISSN
0940-4740
Edition Number
1
Number of Pages
XIV, 482
Topics