Fused Four-Dimensional Real Division Algebras

Dickson's construction obtains the quaternions as pairs of complex numbers with a specific multiplication. We modify his construction to obtain four-dimensional division algebras from pairs of two-dimensional real division algebras and compare this class of algebras to other known classes.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/31166/1/0000065.pd