The seven-dimensional fundamental representation has weights zero and the six short roots. Under its long-root subalgebra, these are the weights of the defining three-dimensional representation, its dual, and the trivial representation:
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Ancestors (13)

  1. Long-root A2 subsystem of G2
  2. G2 root system
  3. Root system
  4. Root-space decomposition
  5. Cartan subalgebra
  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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