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Lie groups and lie algebras : a physicist's perspective /

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This text gives an introduction to group theory for physicists with a focus on lie groups and lie algebras.

Bibliographic Details
Main Author:	Bincer, Adam M. (Adam Marian) (Author)
Format:	eBook
Language:	English
Published:	Oxford : Oxford University Press, 2013.
Subjects:	Lie groups. Lie algebras. Groupes de Lie. Algèbres de Lie. MATHEMATICS > Algebra > Intermediate. Lie algebras Lie groups Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Generalities
Lie groups and lie algebras
Rotations : SO(3) and SU(2)
Representations of SU(2)
The so(n) algebra and Clifford numbers
Reality properties of spinors
Clebsch-Gordan series for spinors
The center and outer automorphisms of Spin(n)
Composition algebras
The exceptional group G₂
Casimir operators for orthogonal groups
Classical groups
Unitary groups
The symmetric group S[r subscript] and Young tableaux
Reduction SU(n) tensors
Cartan basis, simple roots and fundamental weights
Cartan classification of semisimple algebras
Dynkin diagrams
The Lorentz group
The Poincaré and Liouville groups
The Coulomb problem in n space dimensions.