On realization of the discrete series for semisimple Lie groups
On realization of the discrete series for semisimple Lie groups
This note is an announcement of a result, which says, briefly, that most of the discrete series for a semisimple Lie group are realized as certain eigenspaces of the Casimir operator on the symmetric space (Theorem 2).This construction is in some sense a generalization of the methods adopted in [1], …