/sci/ - Science & Math

>>11676893
>what topic in math is this a part of
Abstract algebra.
>if we have found working three dimensional algebras
The quaternions are not three dimensional over the complex numbers. There is the relation ij = k, so we need only 1 and j to generate the quaternions as a complex algebra = a ring that is also a vector space over the complex numbers.
>what topic should I be looking into to study the applications or lack thereof of these things
No idea about real life applications, but mathsy stuff that has "algebraic" in the name is a good place to start.

>>11676699
>>11676672
Rude, fampai!