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9780198535355

Loop Groups

by ;
  • ISBN13:

    9780198535355

  • ISBN10:

    019853535X

  • Format: Hardcover
  • Copyright: 1987-01-22
  • Publisher: Oxford University Press
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List Price: $64.00

Summary


1. Introduction


PART I: 2. Finite Dimensional Lie Groups


3. Groups of Smooth Maps


4. Central Extensions


5. The Root System: Kac--Moody Algebras


6. Loop Groups as Groups of Operators in H

Table of Contents

Introduction
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.

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