We are happy to announce that the HomogeneousTools website is now live. HomogeneousTools is a collection of software for working with homogeneous varieties and homogeneous vector bundles, with applications to sheaf cohomology, Fano geometry, and related areas.
More tools, documentation, and posts are to come soon. Stay tuned.
As a small example of the kind of computation one can do with Lie.jl, here is a short session using the root system of type $\mathrm{A}_2$ (i.e. $\mathfrak{sl}_3$):