Decomposing a 3D PGA Rotor

A couple weeks ago I talked about how to calculate the invariant decomposition of a 3D PGA bivector into simple commuting parts. But what about decomposing a 3D PGA rotor into simple commuting factors? Once again, these ideas came from Roelf and De Keninck's paper "Graded Symmetry Groups: Plane and Simple".

Supporters:
David Johnston
Jason Killian
jerrud
Richard Penner
trb

[jamesyeung]

how do non orthonormal metrics work for geometric algebra? it seems like the geometric product between three or more basis vectors ends up producing a multivector of a scalar and a vector so do we have to transform to a coordinate/frame where the metric is orthonormal? I was wondering since the gauge theory gravity singularity-less schwarzschild line element had off diagonal components, thanks in advance

[appybane]

How do you define division in geometric algebra if it's not commutative?
(I mean What is A/B ? is it AB‾¹ or B‾¹A ?)