Irreducible riemannian symmetric spaces come in pairs: one compact and one not compact, usally called the noncompact dual. The compact symmetric spaces include spheres, complex and quaternionic projective spaces, compact simple Lie groups, Grassmannians of different denominations,... They all have established names and to a large extent an established notation. I'm presently writing a paper where many low-dimensional riemannian symmetric spaces make their appearance, both compact and noncompact, and I have found that I do not know the names to some (indeed, most) of them.

Of course, the noncompact duals of the spheres are the hyperbolic spaces, and I am guessing (someone will surely correct me if I'm wrong) that the noncompact duals of the complex and quaternionionic projective spaces are called the complex and quaternionic hyperbolic spaces, respectively. I am also guessing that these are denoted $\mathbb{C}H^n$ and $\mathbb{H}H^n$; although I do not remember where I have actually seen this notation before. But how about the noncompact duals of the other symmetric spaces?

**Questions**:

Is there an accepted terminology and/or notation for the noncompact dual of the grassmannians of real, complex, quaternionic, associative, special lagrangian,... subspaces? How about for the noncompact dual of a simple Lie group (other than $SU(2)$)?

Thank you.