Whittaker models for highest weight representations of semisimple Lie groups and embeddings into the principal series (Q1097977)

The author announces results whose proofs are to appear elsewhere. Let G/K be a Hermitian symmetric space. Then for a class of irreducible highest weight G-modules (containing the holomorphic discrete series and the finite dimensional representations) embeddings into induced representations are described explicitly. Firstly embeddings into so called generalized Gelfand-Graev representations are given, yielding Whittaker models. Secondly embeddings into the principal series are described.