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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:
22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
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