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A comment on Understanding Quaternions. Parent comment

Re:Understanding Quaternions by j1vms on Sunday October 21, 2018 @10:32AM (#18268120)
> there are only three objects satisfying this criteria: the real numbers themselves, the complex numbers, and the quaternions.

Does a proof exist that these are the only three of such objects?

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Re:Understanding Quaternions by joppy on Sunday October 21, 2018 @10:52AM (#18268233)
Yes, and the proof only uses linear algebra: https://en.wikipedia.org/wiki/Frobenius_theorem_(real_divisi...
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Re:Understanding Quaternions by j1vms on Sunday October 21, 2018 @01:31PM (#18269040)
Thanks. Great result, surprising for 1877.
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