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test(algebraic): G2Rank centralizer certified via 47×47 right-inverse…#160

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gift-framework merged 1 commit intomainfrom
test/g2rank-centralizer-certificate
Apr 9, 2026
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test(algebraic): G2Rank centralizer certified via 47×47 right-inverse…#160
gift-framework merged 1 commit intomainfrom
test/g2rank-centralizer-certificate

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… (Aristotle)

Replace Python-only centralizer verification with full Lean certificate:

  • 47×47 pivot submatrix of combined constraint system (g₂ + ad(H₁) + ad(H₂))
  • Rational right-inverse (199 non-zero entries, denominators in {1,2,3,4,6})
  • native_decide over ℚ verifies product = I₄₇ → rank ≥ 47 → nullity ≤ 2

Testing on CI before merging to main (previous native_decide approach OOM'd runner).

… (Aristotle)

Replace Python-only centralizer verification with full Lean certificate:
- 47×47 pivot submatrix of combined constraint system (g₂ + ad(H₁) + ad(H₂))
- Rational right-inverse (199 non-zero entries, denominators in {1,2,3,4,6})
- native_decide over ℚ verifies product = I₄₇ → rank ≥ 47 → nullity ≤ 2

Testing on CI before merging to main (previous native_decide approach OOM'd runner).

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
@gift-framework gift-framework merged commit e37e870 into main Apr 9, 2026
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@gift-framework gift-framework deleted the test/g2rank-centralizer-certificate branch April 9, 2026 12:57
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