I have a 30-dimensional, semisimple Lie algebra which I would like to know the decomposition of (and decomposable it must certainly be, as no simple Lie algebra has dimension 30). The function DifferentialGeometry:-LieAlgebras:-Decompose is, I guess, the proper command to use. Unfortunately, on my computer, an Intel Core i3 with 4 GB RAM, it seems to drag on forever. Therefore, I have the following two questions:
1.) Is it possible to gain some useful insight into any progress, while the calculation goes on? To have some status bar, so to speak? The amount of information should not be overwhelming, however.
2.) Does there exist some smarter way of doing a decomposition? Perhaps just a partial one?