Is there a place in the literature where the quantum differential
equation (or even just quantum cohomology algebra)
of partial flag manifolds $G/P$ is computed for arbitrary semi-simple $G$ and
arbitrary parabolic $P$? I actually think that I know one way
to formulate (and prove) the answer but
I was sure that this was well-known and to my surprise I couldn't find the reference
for the general case (the case when $P$ is a Borel subgroup is well-known and there is
a lot of literature for other parabolics in the case when $G$ is a classical group but again
I couldn't find a treatment of the general case).
For the quantum cohomology algebra many papers mention a result of Peterson (which I think coincides with what I want when one takes the appropriate limit going from quantum $D$-module to quantum cohomology algebra) which describes it, but I was unable to find a published proof of this result. Is it written anywhere?