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1 Jurgen Fuchs Symmetries, lie algebras and representations: A graduate coursefor physicists 022771 1997 Book  
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TitleSymmetries, lie algebras and representations: A graduate coursefor physicists
Author(s)Jurgen Fuchs;Christoph Schweigert
PublicationCambridge, Cambridge University Press, 1997.
Descriptionxxi, p.437
Series(Cambridge monographs on mathematical physics)
Abstract NoteThis is an introduction to Lie algebras and their applications in physics. The first three chapters show how Lie algebras arise naturally from symmetries of physical systems and illustrate through examples much of their general structure. Chapters 4 to 13 give a detailed introduction to Lie algebras and their representations, covering the Cartan-Weyl basis, simple and affine Lie algebras, real forms and Lie groups, the Weyl group, automorphisms, loop algebras and highest weight representations. Chapters 14 to 22 cover specific further topics, such as Verma modules, Casimirs, tensor products and Clebsch-Gordan coefficients, invariant tensors, subalgebras and branching rules, Young tableaux, spinors, Clifford algebras and supersymmetry, representations on function spaces, and Hopf algebras and representation rings. A detailed reference list is provided, and many exercises and examples throughout the book illustrate the use of Lie algebras in real physical problems.
ISBN,Price9780521541190 : UKP 45.00(PB)
Classification530.1:512.81
Keyword(s)LIE ALGEBRAS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
022771   530.1:512.81/FUC/022771  On Shelf    

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