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Mathematics of Symmetry — Group Theory Essentials

Group axioms, representations, character tables, direct products, and selection rules for crystallography

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What you'll unlock:

  • 1. What Is a Group?
  • 2. Symmetry Groups in Action
  • 3. Representations and Matrices
  • 4. Character Tables
  • 5. Reducible and Irreducible Representations
  • 6. The Great Orthogonality Theorem
  • 7. Direct Products and Selection Rules
  • 8. Double Groups and Spin
  • 9. Symmetry-Adapted Basis Functions
  • 10. Group Theory in VASP Output
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