A new 4-dimensional number system? – math.stackexchange.com

A new 4-dimensional number system? – math.stackexchange.com

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I want to create a new number system with the following rules: The number system is 4-dimensional over the reals, with $\{1,i,j,k\}$ as a basis. $i^2=j^2=k^2=1$ $ij=k$ The number system is a ...

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