{c}
{wiki=Cayley–Dickson construction}

Constructs the <quaternions> from <complex numbers>, <octonions> from <quaternions>, and keeps doubling like this indefinitely.


Cayley-Dickson construction

{disambiguate=real division algebras}
{c}
{tag=Classification (mathematics)}
{wiki}

= Classification of associative real division algebras
{synonym}
{title2}

There are 3: <real numbers>, <complex numbers> and <quaternions>.

Notably, the <octonions> are not <associative>.


Frobenius theorem

Frobenius theorem (real division algebras)

{title2=8}
{wiki}

Unlike the <quaternions>, it is non-<associative>.


Ciro Santilli @cirosantilli 37

 Incoming links: Octonion