Non-Local Equivariant Star Product on the Minimal Nilpotent Orbit

We construct a unique G-equivariant graded star product on the algebra S(g)/I of polynomial functions on the minimal nilpotent coadjoint orbit Omin of G where G is a complex simple Lie group and g≠sl(2, C). This strengthens the result of Arnal, Benamor and Cahen.