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Topic: [HM] Quaternions as complex numbers
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Colin McLarty

Posts: 11
Registered: 3/3/06
[HM] Quaternions as complex numbers
Posted: Feb 16, 2006 5:38 PM
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It seems to me that most people think of a complex number A+Bi as
different from the quaternion A+Bi+0j+0k. Reasons for this include:
complex i has no more to do with the quaternion i than it has with j or
k, and the quaternions are not a complex algebra in the usual sense
(where a field commutes with all elements of any algebra over it).

But now I see that Mathematica identifies them. It will not simplify
a+bI+cJ+dK to a+bI but it will treat the two as the same in operations.

Was I wrong, or is this just a meaningless side-effect of Mathematica's
dislike for type rules?

Colin




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