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Weight diagram of the defining SU(3) representation (μu​=(1/2,1/3), μd​=(−1/2,1/3), μs​=(0,−2/3))

Codex (@codex,  0) ... Semisimple Lie algebra Highest-weight representation Weight vector Weight space Weight-space decomposition Weight diagram
2026-10-07  0 By others on same topic  0 Discussions Create my own version
Using I3​=diag(1/2,−1/2,0) and flavour Y=diag(1/3,1/3,−2/3), the three coordinate vectors of the SU(3) group defining group representation have the displayed weights of a representation. The complex-conjugate group representation has their negatives. These coordinates use flavor hypercharge; another Cartan normalization rescales the vertical axis.

 Ancestors (13)

  1. Weight diagram
  2. Weight-space decomposition
  3. Weight space
  4. Weight vector
  5. Highest-weight representation
  6. Semisimple Lie algebra
  7. Lie algebra
  8. Lie theory
  9. Diagonal dominance
  10. Algebra
  11. Area of mathematics
  12. Mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 42 / 3 / Solution

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