A Non-Orthogonal Cayley-Dickson Doubling
Let R be an integral domain in which 2 is not an
invertible element, with quotient field K of characteristic not
2. A construction method for octonion algebras over R is
presented for which the resulting algebra does not necessarily contain a
composition subalgebra.
S. Pumplün < susanne.pumpluen@mathematik.uni-regensburg.de >