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I kind of expect someone better versed in Geometric Algebra to come along and explain how it somehow also supersedes that.
by vanderZwan 8y ago
I kind of expect someone better versed in Geometric Algebra to come along and explain how it somehow also supersedes that.
- adamnemecek 8y agoGA is more general, however my claim is that the DQ space is the most useful one. E.g. sedenion have little use right now. Also I believe that technically they call under Clifford algebra.
- eigenspace 8y agoClifford himself called it the geometric algebra, so many prefer to call it that, at least when applied to geometric problems. I think that there is a lot of useful structure in the geometric algebra that gets thrown out when one moves to talking about its subalgebras (ie. quaternions, dual quaternions, vectors, etc.). Its ultimately up to taste but I often find that I prefer to use the full GA instead of its subalgebras. Often some unexpected beauty or useful result drops out!