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Geometric Algebra #5059
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@eric-wieser has been working on this. |
I gave an introductory presentation on lean and it's application to GA at ICCA 2020, recorded here: https://m.youtube.com/watch?v=DX2n_-MD-A4 Since that conference, @utensil and I now have |
Since this was brought up as leanprover-community/mathlib3#5059, this is probably worth having in the list of third-party projects.
Since this was brought up as leanprover-community/mathlib3#5059, this is probably worth having in the list of third-party projects.
As of very recently, these two facts are now in mathlib! |
While its content is somewhat outdated, the paper corresponding to the ICCA talk is now published at https://link.springer.com/article/10.1007/s00006-021-01164-1. I strongly recommend not reading in-browser, springer have truly butchered the typesetting. The PDF is fine. |
According to Prof. Alan Macdonald's page GA:
According to the Macdonald's page and wikipedia's article, GA provides natural representations to geometric objects and operations on those objects. For example it naturally accomodates complex and quaternion number systems.
I know mathlib is at a preliminary stage and I'm no expert but using it from initial stages of mathlib development could bring quite a lot simplifications and new horizons, including a good base for physical mathematics (quite in the future possibly).
Is there any plan to use/introduce GA in mathlib?
Thanks..
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