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On the conjugacy of pure imaginary elements of quaternion algebras and Cayley algebras
quaternion algebras Cayley algebras
2010/11/9
In the quatenions ($\H$, $\H'$, $\H^{C}$) and octonions ($\gC$, $\gC^\prime$, $\gC^C$), we show some results on the conjugacy of two pure imaginary non-zero elements with same norm.
Alternative twisted tensor products and Cayley algebras
twisted tensor products Cayley algebras
2010/11/15
We introduce what we call "alternative twisted tensor products" for not necessarily associative algebras, as a common generalization of several different constructions: the Cayley-Dickson process, th...