Andrew Pressley,
Graeme Segal
Loop Groups
Paperback Engels 1988 9780198535614Levertijd ± 11 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780198535614
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:316
Uitgever:OUP OXFORD
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Inhoudsopgave
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.
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