* I found that current Clifford Algebra Python libraries don't handle high dimensional (even 32D, fairly primitive by ML standards) spaces.
You're confusing two different notions of dimensionality here. The Geometric Algebra of 32D is actually a 2^16 (i.e. 65536) dimensional vector space. So it's like talking about vectors in 65536 dimensions, or the space of 256x256 matrices.
Rather a 2^32-dimensional vector space. :-)
Having an option in the library to not have all the higher order bivectors if I don't need higher order operations would be nice.