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Sunday, May 6, 2012

Triality continued

Filed under: General,Geometry — m759 @ 3:33 PM

This post continues the April 9 post
commemorating Élie Cartan's birthday.

That post mentioned triality .
Here is John Baez reviewing
On Quaternions and Octonions:
Their Geometry, Arithmetic, and Symmetry

by John H. Conway and Derek A. Smith
(A.K. Peters, Ltd., 2003)—

IMAGE- John Baez on quaternions and triality

"In this context, triality manifests itself
as the symmetry that cyclically permutes
the Hurwitz integers  i , j ,  and k ."

Related material— Quaternion Acts in this journal
as well as Finite Geometry and Physical Space.

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