5 citations · 8 across the 5 of their papers we have counts for
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The Cayley-Dickson doubling products
John W. Bales
The purpose of this paper is to identify all of the Cayley-Dickson doubling products. A Cayley-Dickson algebra of dimension consists of all ordered pai…
Periodicity of the Cayley-Dickson twists
John W. Bales
Regarding the Cayley-Dickson algebras as twisted group algebras, this paper reveals some basic periodic properties of these twists.
An alternate Cayley-Dickson product
John Wayland Bales
Although the Cayley-Dickson algebras are twisted group algebras, little attention has been paid to the nature of the Cayley-Dickson twist. One reason is that the twist appears to b…
The Clifford Twist
John W. Bales
Gives an elementary exposition of the twisted group algebra rep- resentation of simple Clifford algebras
Cayley-Dickson and Clifford Algebras as Twisted Group Algebras
John W. Bales
The effect of some properties of twisted groups on the associated algebras, particularly Cayley-Dickson and Clifford algebras. It is conjectured that the Hilbert space of square-su…
Properly twisted groups and their algebras
John W. Bales
A twist property is developed which imparts certain properties on the twisted group algebra. These include an involution * satisfying (xy)*=y*x* and an inner product satisfying <xy…