On the intertwining differential operators from a line bundle to a vector bundle over the real projective space

Abstract

We classify and construct -intertwining differential operators from a line bundle to a vector bundle over the real projective space by the F-method. This generalizes a classical result of Bol for . Further, we classify the -type formulas for the kernel and image of . The standardness of the homomorphisms corresponding to the differential operators between generalized Verma modules are also discussed.