Loop Groups (häftad)
Format
Häftad (Paperback)
Språk
Engelska
Antal sidor
316
Utgivningsdatum
1988-06-01
Upplaga
New ed
Förlag
Clarendon Press
Medarbetare
Segal, Graeme
Illustrationer
bibliography
Dimensioner
235 x 155 x 20 mm
Vikt
450 g
Antal komponenter
1
Komponenter
49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam
ISBN
9780198535614

Loop Groups

Häftad, Engelska, 1988-06-01
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Loop groups are the simplest class of infinite dimensional Lie groups, and have important applications in elementary particle physics. They have recently been studied intensively, and the theory is now well developed, involving ideas from several areas of mathematics - algebra, geometry, analysis, and combinatorics.

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

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.