Multiplicity in restricting minimal representations

Abstract

We discuss the action of a subgroup on small nilpotent orbits, and prove a bounded multiplicity property for the restriction of minimal representations of real reductive Lie groups with respect to arbitrary reductive symmetric pairs.

Heisenberg parabolically induced representations of Hermitian Lie groups, Part I: Intertwining operators and Weyl transform

“…On the other hand, the restriction to symmetric subgroups has also turned out to reveal interesting new results (see e.g. [22,28]).…”