definition 14.49 The special unitary group in three dimensions

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Supports

• depends_on definition A.375 Simple Lie algebra ¶
  • depends_on lemma A.380 An ideal is a sum of eigenspaces ¶
  • depends_on theorem A.376 $\mathfrak{su}(3)$ is simple ¶
    • depends_on corollary A.377 The adjoint representation is irreducible ¶
• depends_on definition 14.51 Gell-Mann basis ¶
  • depends_on lemma A.371 The generating trace ¶
  • depends_on proposition 14.55 The fundamental, the antifundamental and the adjoint ¶
    • depends_on corollary A.377 The adjoint representation is irreducible ¶ ↺
    • depends_on example A.358 Rank two: $\mathfrak{su}(3)$ ¶
    • depends_on theorem 14.57 $\vect{3}\otimes\bar{\vect{3}} = \vect{1}\oplus\vect{8}$ ¶
      • depends_on proposition 102.6 Mesons are $q\bar{q}$, baryons are $qqq$ ¶
        • assumes experiment Deep Inelastic Scattering ¶
        • depends_on phenomenon 116.38 The quark spins do not account for the proton spin ¶
        • depends_on phenomenon 102.9 The $\Delta^{++}$ violates the spin-statistics theorem ¶
        • depends_on phenomenon 102.7 The nucleon magnetic moments come out right ¶
        • depends_on proposition 116.29 The Gross–Llewellyn Smith sum rule in the parton model ¶
    • depends_on theorem 102.12 Which quark combinations can be colour singlets ¶
      • depends_on corollary 102.13 The selection rule of the eightfold way ¶
  • depends_on proposition 14.52 Structure constants and the symmetric tensor ¶
    • depends_on proposition 14.54 The two Casimir operators of $\mathfrak{su}(3)$ ¶
      • depends_on example A.358 Rank two: $\mathfrak{su}(3)$ ¶ ↺
    • depends_on proposition 14.53 Killing form of $\mathfrak{su}(3)$ ¶
      • depends_on proposition 14.55 The fundamental, the antifundamental and the adjoint ¶ ↺
      • depends_on proposition 14.54 The two Casimir operators of $\mathfrak{su}(3)$ ¶ ↺
  • depends_on proposition 14.53 Killing form of $\mathfrak{su}(3)$ ¶ ↺
• depends_on lemma A.378 Real ideals and complex ideals ¶
• depends_on proposition 14.50 Dimension and rank ¶
  • depends_on lemma A.378 Real ideals and complex ideals ¶ ↺
  • depends_on proposition 14.54 The two Casimir operators of $\mathfrak{su}(3)$ ¶ ↺
  • depends_on proposition 102.28 The parameters of QCD ¶
  • depends_on theorem A.376 $\mathfrak{su}(3)$ is simple ¶ ↺
• depends_on theorem A.376 $\mathfrak{su}(3)$ is simple ¶ ↺