In mathematics, the Cayley–Dickson construction, sometimes also known as the Cayley–Dickson process or the Cayley–Dickson procedure produces a sequence of algebras over the field of real numbers, each with twice the dimension of the previous one. It is named after Arthur Cayley and Leonard Eugene Dickson. The algebras produced by this process are known as Cayley–Dickson algebras, for example complex numbers, quaternions, and octonions. These examples are useful composition algebras frequently applied in mathematical physics.
In mathematics the Cayley–Dickson construction sometimes also known as the Cayley–Dickson process or the Cayley–Dickson procedure produces a sequence of algebras over the field of real numbers each with twice the dimension of the previous one It is named after Arthur Cayley and Leonard Eugene Dickson The algebras produced by this process are known as Cayley–Dickson algebras for example complex numbers quaternions and octonions These examples are useful composition algebras frequently applied in mathematical physics