ABSTRACT

In this book, the author convinces that Sir Arthur Stanley Eddington had things a little bit wrong, as least as far as physics is concerned. He explores the theory of groups and Lie algebras and their representations to use group representations as labor-saving tools.

chapter |1 pages

Why Group Theory?

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chapter Chapter 1|41 pages

Finite Groups

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chapter Chapter 2|13 pages

Lie Groups

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chapter Chapter 3|12 pages

SU(2)

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chapter Chapter 4|11 pages

Tensor Operators

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chapter Chapter 5|11 pages

Isospin

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chapter Chapter 6|8 pages

Roots and Weights

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chapter Chapter 7|5 pages

SU(3)

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chapter Chapter 8|22 pages

Simple Roots

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chapter Chapter 9|13 pages

More SU(3)

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chapter Chapter 10|28 pages

Tensor Methods

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chapter Chapter 11|12 pages

Hypercharge and Strangeness

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chapter Chapter 12|9 pages

Young Tableaux

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chapter Chapter 13|11 pages

SU(N)

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chapter Chapter 14|7 pages

3-D Harmonic Oscillator

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chapter Chapter 15|9 pages

SU(6) and the Quark Model

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chapter Chapter 16|7 pages

Color

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chapter Chapter 17|4 pages

Constituent Quarks

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chapter Chapter 18|12 pages

Unified Theories and SU(5)

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chapter Chapter 19|7 pages

The Classical Groups

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chapter Chapter 20|11 pages

The Classification Theorem

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chapter Chapter 21|10 pages

SO(2n + 1) and Spinors

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chapter Chapter 22|5 pages

SO (2n + 2) Spinors

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chapter Chapter 23|12 pages

SU(n) ⊂ SO(2n)

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chapter Chapter 24|9 pages

SO(10)

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chapter Chapter 25|6 pages

Automorphisms

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chapter Chapter 26|5 pages

Sp(2n)

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chapter Chapter 27|9 pages

Odds and Ends

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