This book is intended for graduate students in Physics, especially Elementary Particle Physics. It gives an introduction to group theory for physicists with a focus on Lie groups and Lie algebras.
This book is intended for graduate students in Physics, especially Elementary Particle Physics. It gives an introduction to group theory for physicists with a focus on Lie groups and Lie algebras.
Adam Bincer is Professor Emeritus at University of Wisconsin - Madison.
Inhaltsangabe
1: Generalities 2: Lie Groups and Lie Algebras 3: Rotations: SO(3) an SU(2) 4: Representations of SU(2) 5: The so(n) Algebra and Clifford Numbers 6: Reality Properties of Spinors 7: Clebsch-Gordan Series for Spinors 8: The Center and Outer Automorphisms of Spin(n) 9: Composition Algebras 10: The Exceptional Group G2 11: Casimir Operators for Orthogonal Groups 12: Classical Groups 13: Unitary Groups 14: The Symmetric Group Sr and Young Tableaux 15: Reduction of SU(n) Tensors 16: Cartan Basis, Simple Roots and Fundamental Weights 17: Cartan Classification of Semisimple Algebras 18: Dynkin Diagrams 19: The Lorentz Group 20: The Poincare and Liouville Groups 21: The Coulomb Problem in n Space Dimensions
1: Generalities 2: Lie Groups and Lie Algebras 3: Rotations: SO(3) an SU(2) 4: Representations of SU(2) 5: The so(n) Algebra and Clifford Numbers 6: Reality Properties of Spinors 7: Clebsch-Gordan Series for Spinors 8: The Center and Outer Automorphisms of Spin(n) 9: Composition Algebras 10: The Exceptional Group G2 11: Casimir Operators for Orthogonal Groups 12: Classical Groups 13: Unitary Groups 14: The Symmetric Group Sr and Young Tableaux 15: Reduction of SU(n) Tensors 16: Cartan Basis, Simple Roots and Fundamental Weights 17: Cartan Classification of Semisimple Algebras 18: Dynkin Diagrams 19: The Lorentz Group 20: The Poincare and Liouville Groups 21: The Coulomb Problem in n Space Dimensions
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