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The fact that the quaternions “work” (are a finite-dimensional real vector space with an associative real-bilinear multiplication, and a division operation) is
by joppy 8y ago
The fact that the quaternions “work” (are a finite-dimensional real vector space with an associative real-bilinear multiplication, and a division operation) is quite special. In fact there are only three objects satisfying this criteria: the real numbers themselves, the complex numbers, and the quaternions.
- j1vms 8y ago> 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?