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class=\"section-number\">1. </span>Introduction","<span class=\"section-number\">10. </span>Representations of matrix groups","<span class=\"section-number\">11. </span>Representations of matrix groups relevant to physics","<span class=\"section-number\">2. </span>Groups","<span class=\"section-number\">3. </span>Group homomorphisms and group actions","<span class=\"section-number\">4. </span>Linear representations","<span class=\"section-number\">5. </span>Subrepresentations","<span class=\"section-number\">6. </span>Irreducible representations","<span class=\"section-number\">7. </span>Character Theory","<span class=\"section-number\">8. </span>Classification of representations for symmetric groups","<span class=\"section-number\">9. </span>Applications of representation theory to physics problems","Groups and 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