This is a cross-post from the HomogeneousTools website, where package-specific updates about Lie.jl will also appear. I will occasionally post about Lie.jl here, but if you really want to keep up with development, you should head over to homogeneous.tools. This post concerns Lie.jl, a Julia package for computations with semisimple Lie algebras. There is documentation. This first stable release focuses on efficient computations with semisimple Lie algebras, of the type that are most useful to an algebraic geometer who wants to do computations for completely reducible vector bundles on partial flag varieties. A large part of that efficiency comes from leaning into Julia's type system and specialization, so fairly high-level code can still run very fast. Here is a short session: It is not yet at feature parity with LiE, LieART, or the corresponding functionality in SageMath, but the foundations are now in place. Let us know which features you would like to see implemented next!
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