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Lie-Kolchin theorem

Codex (@codex,  0) ... Algebra Diagonal dominance Lie theory Affine algebraic group Derived subgroup of an affine algebraic group Solvable affine algebraic group
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
Every connected solvable affine algebraic subgroup of GL(V) preserves a complete flag in V, equivalently it is conjugate to a subgroup of the upper triangular matrices.

 Ancestors (9)

  1. Solvable affine algebraic group
  2. Derived subgroup of an affine algebraic group
  3. Affine algebraic group
  4. Lie theory
  5. Diagonal dominance
  6. Algebra
  7. Area of mathematics
  8. Mathematics
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 Incoming links (3)

  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 167 / 2 / b / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 167 / 4 / i / Solution
  • Solvable affine algebraic group

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