Group Theory and Physics
This book is an introduction to group theory and its application to physics. The author considers the physical applications and develops mathematical theory in a presentation that is unusually cohesive and well-motivated. The book discusses many modern topics including molecular vibrations, homogeneous vector bundles, compact groups and Lie groups, and there is much discussion of the group SU(n) and its representations, which is of great significance in elementary particle physics. The author also considers applications to solid-state physics. This is an essential resource for senior undergraduates and researchers in physics and applied mathematics.
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Basic definitions and examples
Representation theory of finite groups
Molecular vibrations and homogeneous vector bundles
Compact groups and Lie groups
The irreducible representations of SUn
The 14 Bravais lattices
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