I'm trying to decompose some tensor products of semi-simple Lie algebra representations into irreducibles. I've read great things about Lie but I get a "502 Bad Gateway" when I use the online demonstration. Does anyone know of any other ways to fix this?
I tried to download it but was not tech savvy enough to succeed. Running the program online would be preferable, if possible.
The decomposition of tensor products for representations of semisimple Lie algebras has been computed for many cases, with LieART, see
LieART 2.0 – A Mathematica Application for Lie Algebras and Representation Theory.
In section $5$, extensive tables can be found with the results. I suppose you can find your answers there. Furthermore the authors explain how to compute it with LieART 2.0 within Mathematica.