A get-started tutorial

[kellertuer]

This is a start of a tutorial that aims to combine the former two

• introduction to GroupManifolds at https://juliamanifolds.github.io/Manifolds.jl/stable/tutorials/groups/
• the stale PR tutorial on how to SE2 Manifolds.jl#366

For now this is just a short start, but I will continue the already prepared roadmap in the quarto notebook.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 100.00%. Comparing base (99a405e) to head (0439200).
Report is 1 commits behind head on main.

Additional details and impacted files

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  Files           22        22           
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[kellertuer]

@Affie @dehann if you have a bit of time, this aims to replace your started tutorial from a few years back – SE(3) I still have to write.
The focus here is much more on Lie groups than in the two linked ones. Since one of them was also a discussion with you, it would be great to have some feedback from you here as well.

[kellertuer]

All text and code are written now, maybe still a bit technical, but all functions I wanted to mention and introduce are now included.

See https://juliamanifolds.github.io/LieGroups.jl/previews/PR24/tutorials/getstarted/ for the rendered version.

[mateuszbaran]

A few comments for the first part. I think this looks nice in general and only requires minor polishing.

[kellertuer]

I think this looks nice in general and only requires minor polishing.

Nice! Yes I always have a few typos here and there (and reading it in a week I would see them) – but good that you like the general idea. It took a bit of time coming up with a good level of detail and a good way through an example with code.

[kellertuer]

Besides checking for a nice reference for left/right invariant vector fields yielding different metrics, this should be finished; thanks for the careful reading.