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They do mention Penrose notation in the linked arxiv paper[1], as well as Cvitanović's Birdtracks[2] which let you do calculations on representations of groups.

They claim they're making it more accessible with pedagogical examples (and innovations in representing differential vector calculus).

I still prefer index notation. Their notation looks pretty intricate and I think it would be really hard to do long calculations in it. It's also not clear to me how you'd generalise it to non-commutative vector algebras like in quantum mechanics.

[1] https://arxiv.org/pdf/1911.00892.pdf

[2] http://birdtracks.eu/




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