I have taught group theory for chemists but a long time ago and at a level that is very different from what you are trying to do with these articles I have largely given up editing articles that have some connection to physical or theoretical chemistry as they are dominated by physicists who make the articles far to complicated without even a simple introduction for chemists These articles are essentially quite useless for chemistry students unless they are already doing a Ph D in a specialist area and even then they go far further than they need and in a language that is also foreign to them I am still doing some quantum chemistry calculations and group theory is useful but it is long time since I have thought seriously about irreducible representations The bible for chemists on group theory is still Chemical applications of Group Theory by F Albert Cotton even though my edition the 1st is now 60 years old I agree that a steer on how irreps are used in chemistry symmetrised basis sets etc and their overall significance might be useful but I really find it hard to see how it would fit in with what is already there Then I suspect that if I did spent a lot of time doing it it would be deleted on the grounds that I was oversimplifying or just plain wrong I am not really sure I can help and I am rather busy at present Discussion