Re: Hexpentaquaternions: a two-hand quaternion algebra
- From: Dement <creigh@xxxxxxxxxxx>
- Date: Tue, 28 Feb 2006 15:00:13 +0000 (UTC)
Hello,
I've always imagined the floretion algebra (over the
reals) as being something
like a "two-hand quaternion algebra".
I haven't had a chance to look at your paper yet, but
perhaps you'll find
http://www.crowdog.de/13829.html helpful.
Sincerely,
Creighton
Sincere thanks to Prof. Edwin Clark for sending me this enlightening message:
********
Let H denote the algebra of real quaternions and let o denote the tensor product symbol (x with a circle around it). Then
Floretions = H o H;
Hexpentaquaternions = H o H' where H' is H with the multiplication reversed.
But H is isomorphic to H' via conjugation of quaternions, so
Floretions = Hexpentaquaternions. (But with slightly different distinguished bases.)
.
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