I am familiar with the semisimple structure, and a bit of the harmonic analysis on Riemannian symmetric spaces of rank one. This class consists entirely of hyperbolic spaces, whose constructions and Iwasawa decompositions, etc., are fairly well-known.
I’m wondering if anyone has references for the analogous semi-Riemannian case. I’d suspect they consist of the AdS spaces, but I’m not familiar with enough with the literature. Anything explicit would be appreciated.
For context, I’m an analyst.
I’d especially like to know the relevant big names if there are any.