Quaternionic discrete series for "Sp"(1, 1)
- Autores: Henrik Seppänen
- Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 104, Nº 1, 2009, págs. 5-32
- Idioma: inglés
- Enlaces
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Resumen
In this paper we study the analytic realization of the discrete series representations for the group G=Sp(1,1) as a subspace of the space of square integrable sections in a homogeneous vector bundle over the symmetric space G/K:=Sp(1,1)/(Sp(1)×Sp(1)). We use the Szegő map to give expressions for the restrictions of the K-types occurring in the representation spaces to the submanifold AK/K.
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