English

Discrete series representations with non-tempered embedding

Representation Theory 2021-03-16 v1

Abstract

We give an example of a semisimple symmetric space G/HG/H and an irreducible representation of GG which has multiplicity 1 in L2(G/H)L^2(G/H) and multiplicity 2 in C(G/H)C^\infty(G/H).

Keywords

Cite

@article{arxiv.2103.08296,
  title  = {Discrete series representations with non-tempered embedding},
  author = {Bernhard Krötz and Job J. Kuit and Henrik Schlichtkrull},
  journal= {arXiv preprint arXiv:2103.08296},
  year   = {2021}
}
R2 v1 2026-06-24T00:09:52.256Z