On differential invariants of actions of semisimple Lie groups (Q741111)

This paper gives a new approach to study invariants of irreducible representations for semi-simple Lie groups based on the well-known Borel-Weil-Bott theorem. The main tools of this work are: i) the jet space of holomorphic sections of a one-dimensional bundle \(\pi ^{\lambda }\) associated to the highest weight \(\lambda \), ii) the Nomizu and Wang invariant connections.