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In this note we determine the irreducible square integrable representationsof a simple group which admits an admissible restriction to a subgroup $H$locally isomorphic to $SL_2(\mathbb R).$ We show such representation isholomorphic and we determine the essentially unique $H$ with this property aswell as multiplicity formulae.

Discrete series of simple Lie groups with admissible restriction to a $SL_2(\mathbb R)$