Homogeneous holomorphic hermitian principal bundles over hermitian   symmetric spaces
  We give a complete characterization of invariant integrable complex structures on principal bundles defined over hermitian symmetric spaces, using the Jordan algebraic approach for the curvature computations. In view of possible generalizations, the general setup of invariant holomorphic principal fibre bundles is described in a systematic way. 
Indranil Biswas and Harald Upmeier
math.DG math.CV math.RT