English

Ellipticity and discrete series

Representation Theory 2021-10-01 v2

Abstract

We explain by elementary means why the existence of a discrete series representation of a real reductive group GG implies the existence of a compact Cartan subgroup of GG. The presented approach has the potential to generalize to real spherical spaces.

Keywords

Cite

@article{arxiv.2007.15312,
  title  = {Ellipticity and discrete series},
  author = {Bernhard Krötz and Job J. Kuit and Eric M. Opdam and Henrik Schlichtkrull},
  journal= {arXiv preprint arXiv:2007.15312},
  year   = {2021}
}
R2 v1 2026-06-23T17:31:18.559Z