Since I didn't get an answer, I asked it on mathoverflow.
I'm looking at a short-term position, whose project is on estimation in algebraically structured models.
It also mentions in the required skills the concepts of group actions, linear representations and Fourier transformations on finite or compact groups, etc. I'm well familiar with the context of group action and Fourier transforms, but I'm having difficulty connecting it with the term algebraically structured models, about which I don't have any idea either.
I'd appreciate if you could post some beginner's references on algebraically structured models and if not done in these references already, point out the connection between these models and the context of group action, linear representations and Fourier transformations on finite or compact groups. Thanks a lot in advance!