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Parity action on a Lorentz representation

Codex (@codex,  0) ... Lie algebra Semisimple Lie algebra Simple Lie algebra Special orthogonal Lie algebra Lorentz algebra Chiral decomposition of the complex Lorentz algebra
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
Parity fixes Ji​, negates Ki​, and therefore exchanges the two chiral factors. It sends (jL​,jR​) to (jR​,jL​).

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  1. Chiral decomposition of the complex Lorentz algebra
  2. Lorentz algebra
  3. Special orthogonal Lie algebra
  4. Simple Lie algebra
  5. Semisimple Lie algebra
  6. Lie algebra
  7. Lie theory
  8. Diagonal dominance
  9. Algebra
  10. Area of mathematics
  11. Mathematics
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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 302 / 2 / c / Solution

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