Special Reduced Multiplets and Minimal Representations for Sp(n,R)

In the present paper we continue the programme of systematic construction of invariant differential operators on the example of the non-compact groups Sp(n,R). Earlier in arXiv:1205.5521 we gave the main multiplets and the main reduced multiplets of indecomposable elementary representations including the necessary data for all relevant invariant differential operators. Here we give the special reduced multiplets and the minimal representations of Sp(n,R).