Please see http://theoryofeverything.org/theToE/tags/2d/ which links to http://www.equaonline.com/math/SuperLie/ . How much of this was added into Combinatorica at version 10? Do higher versions have more? Are there examples of Lie Group analysis on other Wolfram sites?
https://reference.wolfram.com/language/guide/StandardExtraPackages.html
Hi Douglas,
I have no experience with it but maybe LieART 2.0 satisfies your requirements.