Quaternionic discrete series for Sp(1,1)
| dc.creator | Seppanen, Henrik | |
| dc.date | 2007-03-27 | |
| dc.date.accessioned | 2026-07-07T07:54:07Z | |
| dc.date.available | 2026-07-07T07:54:07Z | |
| dc.description | In this paper we study the analytic realisation 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 $G/K:=Sp(1,1) /(Sp(1) \times Sp(1))$. We use the Szegö map to give expressions for the restrictions of the $K$-types occurring in the representation spaces to the submanifold $AK/K$. | |
| dc.identifier | https://arxiv.org/abs/math/0703797 | |
| dc.identifier | http://arxiv.org/abs/math/0703797 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126481 | |
| dc.subject | Representation Theory | |
| dc.subject | Differential Geometry | |
| dc.title | Quaternionic discrete series for Sp(1,1) | |
| dc.type | text |