Symmetries, Lie Algebras and Representations A Graduate Course for Physicists

Name: Symmetries, Lie Algebras and Representations A Graduate Course for Physicists
Price: 102.02 USD
Availability: InStock
ISBN: 9780521541190

ISBN-10: 0521541190

ISBN-13: 9780521541190

Edition: 2003

Authors: Jï¿½rgen Fuchs, Christoph Schweigert, P. V. Landshoff, D. R. Nelson, D. W. Sciama

List price: $105.00

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Description:

This 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,…

Book details

List price: $105.00
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 10/7/2003
Binding: Paperback
Pages: 464
Size: 7.44" wide x 9.69" long x 1.02" tall
Weight: 1.804
Language: English

Peter Landshoff qualified for his PhD from the University of Cambridge in 1962. He is Professor of Mathematical Physics there and is Vice-Master of Christ's College.



Preface



Symmetries and conservation laws



Basic examples



The Lie algebra su(3) and hadron symmetries



Formalization: algebras and Lie algebras



Representations



The Cartan-Weyl basis



Simple and affine Lie algebras



Real Lie algebras and real forms



Lie groups



Symmetries of the root system. The Weyl group



Automorphisms of Lie algebras



Loop algebras and central extensions



Highest weight representations



Verma modules, Casimirs, and the character formula



Tensor products of representations



Clebsch-Gordan coefficients and tensor operators



Invariant tensors



Subalgebras and branching rules



Young tableaux and the symmetric group



Spinors, Clifford algebras, and supersymmetry



Representations on function spaces



Hopf algebras and representation rings


Epilogue


References


Index