Group Theory and Physics

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Cambridge University Press, Sep 7, 1995 - Mathematics - 429 pages
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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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Contents

Basic definitions and examples
1
Representation theory of finite groups
48
Molecular vibrations and homogeneous vector bundles
94
Compact groups and Lie groups
172
The irreducible representations of SUn
246
The 14 Bravais lattices
311
Further reading
424
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About the author (1995)

Sternberg is George Putnam Professor of Pure and Applied Mathematics, Harvard University and Permanent Sackler Fellow University of Tel Aviv.

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