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by igravious 1145 days ago
To be clear; what you say you're interested in seeing is having this graph structure (a singly rooted n-ary tree) expressed as a, and I quote “a vector space 𝔤 together with an alternating bilinear map 𝔤 × 𝔤 → 𝔤 that satisfies the Jacobi identity”

Riiight

1 comments

Yea I want to see the 2d non-spatial map have spacialized properties within the self-contained g-space.

That is right. Is saying it in big words somehow more confusing for you?

Basically Jacobi identity would be about things like disambiguations on Wikipedia so again… are you just intimidated by words you don’t know or something? That makes me sad for you.

the jacobi identity is [x,[y,z]] - [[x,y],z] = [y,[x,z]] ie. it says the lie (pronounced "lee") bracket is almost associative but you have to add a [y,[x,z]] when you rearrange brackets. it has absolutely nothing to do with disambiguations.

hope that helps lol