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Identifies Stab(Ω_W) as g₂(split) in 8 exact steps: dim 14, Lie closure, perfect, Killing nondegenerate (semisimple), R⁷ absolutely irreducible, simple (ad-commutant 1), Killing signature (8,6) (split), g ⊂ so(3,4). Uses Killing 1887 and Cartan 1914 classifications. Verified by CCFU Script 2 (proof_g2_complete.py, exact over Q). Dependencies: Proofs 22, 23.
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Title CCFU Proof 28 — Stab(Ω_W) ≅ g₂(split)
Identifies Stab(Ω_W) as g₂(split) in 8 exact steps: dim 14, Lie closure, perfect, Killing nondegenerate (semisimple), R⁷ absolutely irreducible, simple (ad-commutant 1), Killing signature (8,6) (split), g ⊂ so(3,4). Uses Killing 1887 and Cartan 1914 classifications. Verified by CCFU Script 2 (proof_g2_complete.py, exact over Q). Dependencies: Proofs 22, 23.
Work type Research papers, Thesis, Lecture notes
Tags explicit construction, ccfu, mathematics, proof, companion matrix, spectrum, invariant form, signature
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Identifier 2605265789431
Entry date May 26, 2026, 9:31 AM UTC
License All rights reserved
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Author 100.00 %. Holder Captain Cookie Face Universe. Date May 26, 2026.
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