Hurwitz's theorem (normed division algebras) — History of Non-associative Algebra
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Hurwitz's theorem (normed division algebras) (Theorem) in History of Non-associative Algebra. Era: 1898. Formula: Finite-dimensional real normed division algebras: only dim 1, 2, 4, 8 (ℝ, ℂ, ℍ, O). Origin axiom of path: Quaternions (Hamilton 1843). Modern reach: Cayley–Dickson construction · ℝ→ℂ→ℍ→O→S→….
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- History of Non-associative Algebra
- Theorem: Hurwitz's theorem (normed division algebras)
- Adolf Hurwitz