Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists (Cambridge Monographs on Mathematical Physics)

Schweigert, Christoph und Jurgen Fuchs:

ISBN 10: 0521560012 / ISBN 13: 9780521560016

Published by Cambridge University Press, 1997

About this Item

438 Seiten; 9780521560016.3 Gewicht in Gramm: 2.

Seller Inventory # 1110734

Bibliographic Details

• Title: Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists (Cambridge Monographs on Mathematical Physics)
• Publisher: Cambridge University Press
• Publication Date: 1997
• Language: English
• ISBN 10: 0521560012
• ISBN 13: 9780521560016
• Binding: hardcover
• Condition: Gut
• Weight: 2 grams
• Seller catalogs:
  • Varia

About this title

Synopsis

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.

Book Description

This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.