Springer Monographs in Mathematics

Representation Theory of the Virasoro Algebra

Authors: Iohara, Kenji, Koga, Yoshiyuki

  • Presents much of the existing literature in one self-contained book
  • Fundamental results are organized in a unified manner
  • Includes a number of existing proofs
  • Corrects a number of errors that have spread throughout the literature
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eBook $109.00
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  • ISBN 978-0-85729-160-8
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Hardcover $139.00
price for USA
  • ISBN 978-0-85729-159-2
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  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
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  • ISBN 978-1-4471-2609-6
  • Free shipping for individuals worldwide
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About this book

The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics. This book describes some fundamental facts about the representation theory of the Virasoro algebra in a self-contained manner. Topics include the structure of Verma modules and Fock modules, the classification of (unitarizable) Harish-Chandra modules, tilting equivalence, and the rational vertex operator algebras associated to the so-called minimal series representations.

Covering a wide range of material, this book has three appendices which provide background information required for some of the chapters. Fundamental results are organized in a unified way and existing proofs refined. For instance in chapter three, a generalization of Jantzen filtration is reformulated in an algebraic manner, and geometric interpretation is provided. Statements, widely believed to be true, are collated, and results which are known but not verified are proven, such as the corrected structure theorem of Fock
modules in chapter eight.

This book will be of interest to a wide range of mathematicians and physicists from the level of graduate students to researchers.

Reviews

From the reviews:

“The book under review collects many classical results on representations of the Virasoro algebra and can be used both as a reference source and as a textbook.” (Volodymyr Mazorchuk, Mathematical Reviews, Issue 2011 m)

“The aim of the book is to describe fundamental facts about the representation theory of the Virasoro algebras in a self-contained manner. … At the end of each chapter are bibliographical notes and comments, and some times some extra appendices. A quick guide for further reading of some topics that are not treated in this book is presented, as well as a comprehensive list of references.” (Daniel Bulacu, Zentralblatt MATH, Vol. 1222, 2011)


Table of contents (11 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-0-85729-160-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.00
price for USA
  • ISBN 978-0-85729-159-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4471-2609-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Representation Theory of the Virasoro Algebra
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2011
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Limited
eBook ISBN
978-0-85729-160-8
DOI
10.1007/978-0-85729-160-8
Hardcover ISBN
978-0-85729-159-2
Softcover ISBN
978-1-4471-2609-6
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XVIII, 474
Topics