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hypercomplex number

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element of a unital algebra over the field of real numbers

~22 min read

Encyclopedic overview

In mathematics, the 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.

History

Excerpted from Wikipedia’s “hypercomplex number” article, available under the CC BY-SA 4.0 licence.