Loop Groups (Oxford Mathematical Monographs) - Hardcover

9780198535355: Loop Groups (Oxford Mathematical Monographs)
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Loop groups, the simplest class of infinite dimensional Lie groups, have recently been the subject of intense study. This book gives a complete and self-contained account of what is known about them from a geometrical and analytical point of view, drawing together the many branches of mathematics from which current theory developed--algebra, geometry, analysis, combinatorics, and the mathematics of quantum field theory. The authors discuss Loop groups' applications to simple particle physics and explain how the mathematics used in connection with Loop groups is itself interesting and valuable, thereby making this work accessible to mathematicians in many fields.

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About the Author:
Andrew Pressley, Lecturer in Mathematics, King's College, London. Graeme Segal, Reader in Mathematics, University of Oxford.
Review:
'This is an outstanding book, of enormous interest to anyone interested in Lie groups, Lie algebras and/or Quantum Field Theory' Mathematika

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  • PublisherOxford University Press
  • Publication date1987
  • ISBN 10 019853535X
  • ISBN 13 9780198535355
  • BindingHardcover
  • Edition number1
  • Number of pages350

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9780198535614: Loop Groups (Oxford Mathematical Monographs)

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ISBN 10:  0198535619 ISBN 13:  9780198535614
Publisher: Clarendon Press, 1988
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