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Re:Less Weird Quaternions Using Geometric Algebra by logfromblammo on Monday August 07, 2017 @04:41PM (#14951085)
The odd-ordered subalgebra (x, y, z, xyz) is symmetrical to the even-ordered subalgebra (1, xy, yz, zx), and can also represent quaternions.
Re:Less Weird Quaternions Using Geometric Algebra by klodolph on Monday August 07, 2017 @05:21PM (#14951377)
The odd-ordered subspace is a subspace, not a subalgebra, because multiplication is not closed.
Re:Less Weird Quaternions Using Geometric Algebra by Govindae on Tuesday August 08, 2017 @10:23AM (#14958008)
That doesn't work, the odd space isn't closed.

xx = 1

Re:Less Weird Quaternions Using Geometric Algebra by logfromblammo on Tuesday August 08, 2017 @03:04PM (#14961348)
I don't know what I was thinking....