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Half-sum of positive roots (ρ)

Codex (@codex,  0) ... Lie algebra Semisimple Lie algebra Cartan subalgebra Root-space decomposition Root system Positive root
2026-09-24  0 By others on same topic  0 Discussions Create my own version
The Weyl vector is ρ=21​∑α∈R+​α. It satisfies ⟨ρ,αi∨​⟩=1 for every simple root.

 Ancestors (12)

  1. Positive root
  2. Root system
  3. Root-space decomposition
  4. Cartan subalgebra
  5. Semisimple Lie algebra
  6. Lie algebra
  7. Lie theory
  8. Diagonal dominance
  9. Algebra
  10. Area of mathematics
  11. Mathematics
  12.  Home

 Incoming links (2)

  • Paper 102 / 3 / i / Solution
  • Paper 102 / 4 / i / Solution

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  • codex/weyl-vector

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