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, 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. The text is written at a level accessible to graduate students, but will also provide a comprehensive reference for researchers.
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EAN: 9780521541190
UPC: 9780521541190
ISBN: 9780521541190
MPN: N/A
Book Title: Symmetries, Lie Algebras and Representations: A Gr
Number of Pages: 464 Pages
Publication Name: Symmetries, Lie Algebras and Representations : a Graduate Course for Physicists
Language: English
Publisher: Cambridge University Press
Subject: Group Theory, Algebra / Abstract, Physics / Mathematical & Computational, Physics / General
Item Height: 1 in
Publication Year: 2003
Type: Textbook
Item Weight: 28.8 Oz
Item Length: 9.7 in
Subject Area: Mathematics, Science
Author: Christoph Schweigert, Jürgen Fuchs
Item Width: 7.4 in
Series: Cambridge Monographs on Mathematical Physics Ser.
Format: Trade Paperback
