Ellipticity and discrete series

2020/07/30 by Krötz, Bernhard, Kuit, Job J., Opdam, Eric M. +1
#22E30 #22E46 #22F30 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2007.15312

Abstract

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

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• Séries discrètes des espaces symétriques et paquets d'Arthur
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