Quaternionic discrete series for Sp(1,1)

Henrik Seppanen

Quaternionic discrete series for Sp(1,1)

表示论 2007-05-23 v1 微分几何

作者: Henrik Seppanen

摘要

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 $AK/K$ .

关键词

group representations representation theory representation theory of groups

引用

@article{arxiv.math/0703797,
  title  = {Quaternionic discrete series for Sp(1,1)},
  author = {Henrik Seppanen},
  journal= {arXiv preprint arXiv:math/0703797},
  year   = {2007}
}

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