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Loop groups

Author: Andrew Pressley; Graeme Bryce Segal
Publisher: Oxford : Clarendon Press ; New York : Oxford University Press, cop. 1986.
Series: Oxford mathematical monographs.; Oxford science publications.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

This book gives a complete and self-contained account of what is known about this subject and is written from a geometrical and analytical point of view, with quantum field theory very much in mind.

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Document Type: Book
All Authors / Contributors: Andrew Pressley; Graeme Bryce Segal
ISBN: 019853535X 9780198535355 0198535619 9780198535614
OCLC Number: 490829403
Description: 1 vol. (viii-318 p.) ; 25 cm.
Contents: Introduction; PART 1 - 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 Grassmannian of Hilbert space and the determinant line bundle; The fundamental homogeneous space. PART 2 - 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; References; Index of notation; Index.
Series Title: Oxford mathematical monographs.; Oxford science publications.
Responsibility: Andrew Pressley, ... and Graeme Segal, ...
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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

 
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