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Oct 13, 2016 at 15:48 comment added James Mracek Glad I could help! I will say that the answer given in the paper is maybe not as explicit as you were asking for (say, giving a presentation by generators and relations). Levasseur expresses the D-modules as being cyclically generated by some orbital integrals for real forms of the group.
Oct 4, 2016 at 11:29 comment added David Jordan Funny enough, some seven years after I asked that question (ouch!), I was searching again for a good source for the answer. So your answer is useful for past and future visitors alike!
Sep 30, 2016 at 15:02 history answered James Mracek CC BY-SA 3.0