Mathematics – Representation Theory
Scientific paper
2007-03-27
Mathematics
Representation Theory
Scientific paper
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 Szeg\"o map to give expressions for the restrictions of the $K$-types occurring in the representation spaces to the submanifold $AK/K$.
No associations
LandOfFree
Quaternionic discrete series for Sp(1,1) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quaternionic discrete series for Sp(1,1), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quaternionic discrete series for Sp(1,1) will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-372884