## Conformal geometry and branching laws for unitary representations attached to minimal nilpotent orbits.(English. Abridged French version)Zbl 0910.22010

Summary: For the unitary representation of $$O(p,q)$$ attached to the minimal nilpotent coadjoint orbit, we explicitly calculate its restriction to certain natural dual pairs in $$O(p,q)$$. We furthermore show how the results are compatible with the orbit method, in particular when viewing the minimal nilpotent orbit as belonging to the limit set of semisimple orbits.

### MSC:

 2.2e+46 Representations of Lie and linear algebraic groups over real fields: analytic methods
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