Anatomy of big algebras: Zoo of big skeletons, crystals and nerves

Check out the Zoo:

Daniel Bedats, a rotation student, has designed several Mathematica images and 3d prints of skeletons, crystals and nerves of

the triplet (standard representation of SL(3))

the decuplet (third symmetric power of the standard representation of SL(3)) and

the octet (the adjoint representation of SL(3)).

Skeletons are the spectra of the base change of the big algebras to the principal sl(2) subalgebra

nerves are the degenerations of the principal spectrum to the various Levi walls

they encode the crystal structure of the representation by arXiv:1708.05105.