I am fumbling my way through learning basic Geometric Algebra. I want to bootstrap my understanding of using Symbolics.jl at the same time. I have some dumb questions about the mathematics, and usage of the Symbolics package.

If anyone knows a more appropriate forum - please advise…

I’m using MacDonald’s A survey of geometric algebra and geometric calculus as one starting point. I’m aware of `Grassman.jl`

- but I don’t want to drown.

I’d like to be able to generate variables to represent the canonical basis vectors as shown in the table. First step - just properly declared `Symbolics`

variables, looking like nice math. I want to enjoy the result

- I suppose I would really like an expression that would generate a zero-based array of length 5, containing the basis of vectors of order 0…4. as per the table.
- What is the formal name for this kind of sub-setting? I can’t look it up without the name.
- I’d like subscripts to work so that G4[1,1] gives e0
- What LaTeX expressions should I use to get nice R and G for Reals and Geometrics in Pluto?