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Loop Groups : Oxford Mathematical Monographs - Andrew Pressley

Loop Groups

Oxford Mathematical Monographs

Hardcover Published: 18th December 1986
ISBN: 9780198535355
Number Of Pages: 350

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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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'This is an outstanding book, of enormous interest to anyone interested in Lie groups, Lie algebras and/or Quantum Field Theory' Mathematika

Finite Dimensional Lie Groups
Groups of Smooth Maps
Central Extensions
The Root System: Kac-Moody Algebras
Loop Groups as Groups of Operators in Hilbert Space
The Grasmannian of Hilbert Space and the Determinant Time Bundle
The Fundamental Homogeneous Space
Representation Theory
The Fundamental Representation
The Borel-Weil Theory
The Spin Representation
'Blips' or 'Vertex-Operators'
The Kac Character Formula and the Bernstein-Gelfand-Gelfand Resolution
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780198535355
ISBN-10: 019853535X
Series: Oxford Mathematical Monographs
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 350
Published: 18th December 1986
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 23.39 x 15.6  x 1.91
Weight (kg): 0.63