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Cambridge University Press Cambridge Symmetries, Lie Algebras & Representations Book

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Description

Explore the fundamental connection between symmetry and physics with this graduate-level text from Cambridge University Press. Part of the Cambridge Monographs on Mathematical Physics series, this book provides a comprehensive introduction to Lie algebras and their practical applications in physical systems. The text begins by demonstrating how Lie algebras arise naturally from physical symmetries. It then transitions into a detailed study of Lie algebras and their representations. Readers will find in-depth coverage of the Cartan-Weyl basis, simple and affine Lie algebras, real forms, Lie groups, and the Weyl group. Further technical sections explore automorphisms, loop algebras, highest weight representations, Verma modules, Casimirs, and tensor products. This resource is designed for advanced students and researchers seeking a rigorous mathematical foundation for modern physics.

Key Features

This Cambridge University Press monograph provides a graduate-level course specifically designed for physicists.

The text illustrates how Lie algebras emerge naturally from the symmetries found in physical systems.

Detailed chapters cover Lie algebra representations including the Cartan-Weyl basis and simple and affine Lie algebras.

Advanced topics include the study of Lie groups, real forms, the Weyl group, and automorphisms.

The book explores complex mathematical structures such as loop algebras, highest weight representations, and Verma modules.

Technical sections provide coverage of Casimirs and tensor products for advanced mathematical physics study.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
21 August 2008
Listed Since
04 January 2007

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