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An extension to multiple dimensions is mentioned. This would be exactly geometric algebra, wouldn't it?
by zardo 10y ago
An extension to multiple dimensions is mentioned. This would be exactly geometric algebra, wouldn't it?
- entelechy 10y agoIt would be a subset of geometric algebra. Geometric Algebra is more generic as it defines signature e_i * e_i := {-1,0,1} (where e_i are unit vectors) and defines an exterior algebra [1]. So a 1 Dimensional geometric algebra with the signature e_1e_1 = ee := 0 is isomorphic to dual numbers. [1] https://en.wikipedia.org/wiki/Exterior_algebra https://en.wikipedia.org/wiki/Exterior_algebra