Cayley refers to the work of the mathematician Arthur Cayley, particularly in the context of composition algebras. Composition algebras are algebraic structures that allow for the definition of a quadratic form, which can be associated with a vector space and exhibit properties such as associativity and distributivity. Cayley's contributions to this area include the establishment of the Cayley numbers, which form a specific type of non-associative algebra that extends the complex numbers.
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