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Quaternion (H, 4)

Ciro Santilli (@cirosantilli, 37) Mathematics Area of mathematics Formalization of mathematics Complex number Cayley-Dickson construction
Updated 2025-07-16  0 By others on same topic  0 Discussions Create my own version
Kind of extends the complex numbers.
Some facts that make them stand out:
  • one of the only three real associative division algebras in addition to the real numbers and complex numbers, according to the classification of associative real division algebras
  • the simplest non-commutative division algebra. Contrast for example with complex numbers where multiplication is commutative

 Ancestors (6)

  1. Cayley-Dickson construction
  2. Complex number
  3. Formalization of mathematics
  4. Area of mathematics
  5. Mathematics
  6.  Home

 Incoming links (5)

  • Algebra over a field
  • Cayley-Dickson construction
  • Frobenius theorem (real division algebras)
  • Octonion
  • Special unitary of degree 2

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