Symmetries, Lie Algebras and Representations pdf epub mobi txt 電子書下載 2024

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Jürgen Fuchs

Cambridge University Press

2003-10-09

464

USD 80.00

Paperback

Cambridge Monographs on Mathematical Physics

9780521541190

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发表于2024-11-26

Symmetries, Lie Algebras and Representations epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Symmetries, Lie Algebras and Representations pdf epub mobi txt 電子書下載 2024

圖書描述

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.

Symmetries, Lie Algebras and Representations 下載 mobi epub pdf txt 電子書