Cayley algebra is the branch of the non-commutative algebras dealing with matrices. English mathematician Arthur Cayley developed it during 1840 to 1890. It is the only non-associative division algebra with real scalars. Division algebra is a type of...

In mathematics, the octonions are a nonassociative extension of the quaternions. Their 8-dimensional normed division algebra over the real numbers is the widest possible that can be obtained from the Cayley-Dickson construction. The octonion algebra is...