On the isomorphism between the reduction algebra and the invariant   differential operators on Lie groups
  Using techniques of deformation (bi)quantization we establish a non-canonical algebra isomorphism between the deformed reduction algebra and the invariant differential operators on G/H. Further results concerning other deformations of these two algebras are also proved. Part of the author's PhD thesis at University Paris 7, 2009. 
Panagiotis Batakidis
math.QA math.RT