Catalogue
A definition of hypercomplex number is given by Kantor & Solodovnikov (1989) as finite dimensional algebras over the reals that are unital and distributive (but not necessarily associative). Elements are generated with real number coefficients for a basis . It is conventional to normalize the basis so that . A technical approach to hypercomplex numbers directs attention first to those of dimension two. Higher dimensions are configured as Cliffordian or algebraic sums of other algebras.
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