Quaternionic discrete series for $Sp(1,1)$

Authors

  • Henrik Seppänen

DOI:

https://doi.org/10.7146/math.scand.a-15082

Abstract

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 $G/K:=Sp(1,1) /(Sp(1) \times Sp(1))$. 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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Published

2009-03-01

How to Cite

Seppänen, H. (2009). Quaternionic discrete series for $Sp(1,1)$. MATHEMATICA SCANDINAVICA, 104(1), 5–32. https://doi.org/10.7146/math.scand.a-15082

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Articles