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Jun 4, 2017 at 11:28 answer added Robert Bryant timeline score: 3
May 25, 2017 at 14:31 history edited Andy Sanders CC BY-SA 3.0
Corrected spelling error in title.
May 25, 2017 at 12:20 answer added Ben McKay timeline score: 7
May 25, 2017 at 12:15 comment added Andy Sanders That's precisely the kind of thing I had in mind Ben, at the end of the day I should just bite the bullet and do it myself, but I was hoping there might be something hiding in the literature which would save me trouble and perhaps give some insights I have missed.
May 25, 2017 at 12:13 comment added Ben McKay There is a nice expression for the differential operator if you allow yourself to write it on the total space of the Cartan geometry, but I can't find a good reference right away.
May 25, 2017 at 12:10 comment added Andy Sanders I had an inclination that this is probably the case, I am/was hoping there was at least a rough algorithm to follow that would solve the problem up to Lie theoretic issues concerning the given homogeneous space. I had not thought of your final comment before, thank you for this insight.
May 25, 2017 at 12:05 comment added Ben McKay I am pretty sure that $Q$ depends on the choice of $(G,X)$-structure for almost every other example. For example, for a flat contact projective structure, I think you can recover the contact structure from $Q$. (That is probably the simplest case to try.) Perhaps the point is that projective spaces are the only complex homogeneous spaces with transitive action of the stabilizer $P \subset G$ on the nonzero elements of $\mathfrak{g}/\mathfrak{p}$.
May 25, 2017 at 11:58 history asked Andy Sanders CC BY-SA 3.0