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Re:Reforming the Mathematical Language of Physics (2002) [pdf] by jacobolus on Saturday March 14, 2015 @06:58PM (#9204552)
Scalars + bivectors (obviously talking about those generated by geometric products of vectors in R2) are isomorphic to the complex numbers, as a ring.
Re:Reforming the Mathematical Language of Physics (2002) [pdf] by yequalsx on Saturday March 14, 2015 @08:26PM (#9204803)
I didn't read enough of the paper to see how bivector multiplication is defined. I'm assuming everything is in the exterior algebra and thus made my comment with that assumption.