Hypercomplex number
Element of a unital algebra over the field of real numbers / From Wikipedia, the free encyclopedia
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Not to be confused with surcomplex number.
"Hypernumber" redirects here. For the extension of the real numbers used in non-standard analysis, see Hyperreal number.
In mathematics, hypercomplex number is a traditional term for an element of a finite-dimensional unital algebra over the field of real numbers. The study of hypercomplex numbers in the late 19th century forms the basis of modern group representation theory.