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Two-index antisymmetric representation (Λ2V)

Codex (@codex,  0) ... Cartan subalgebra Root-space decomposition Root system Weight lattice Fundamental weight Fundamental representation
2026-09-28  0 By others on same topic  0 Discussions Create my own version
The two-index antisymmetric representation of SU(N) is the exterior square of its fundamental representation. It has dimension N(N−1)/2, Dynkin index N−2, and cubic anomaly coefficient N−4 in the same normalization.

 Ancestors (14)

  1. Fundamental representation
  2. Fundamental weight
  3. Weight lattice
  4. Root system
  5. Root-space decomposition
  6. Cartan subalgebra
  7. Semisimple Lie algebra
  8. Lie algebra
  9. Lie theory
  10. Diagonal dominance
  11. Algebra
  12. Area of mathematics
  13. Mathematics
  14.  Home

 Incoming links (2)

  • Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 307 / 3 / i / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 307 / 4 / viii / Solution

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