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The Lie Algebras Su(n): An Introduction

The Lie Algebras Su(n): An Introduction

Paperback

AlgebraGeometry

ISBN10: 376432418X
ISBN13: 9783764324186
Publisher: Springer Nature
Published: Jul 23 2003
Pages: 432
Weight: 0.42
Height: 0.27 Width: 6.14 Depth: 9.21
Language: English

Lie algebras are efficient tools for analyzing the properties of physical systems. Concrete applications comprise the formulation of symmetries of Hamiltonian systems, the description of atomic, molecular and nuclear spectra, the physics of elementary particles and many others. This work gives an introduction to the properties and the structure of the Lie algebras su(n). First, characteristic quantities such as structure constants, the Killing form and functions of Lie algebras are introduced. The properties of the algebras su(2), su(3) and su(4) are investigated in detail. Geometric models of the representations are developed. A lot of care is taken over the use of the term multiplet of an algebra.

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