Original scientific paper
https://doi.org/10.21857/moxpjhzvwm
Séries discrétes des espaces symétriques et paquets d'Arthur
Colette Moeglin
; CNRS, Institut Mathématique de Jussieu, Paris, France
David Renard
; Centre de Mathématiques Laurent Schwartz, Ecole Polytechnique, Palaiseau, France
Abstract
We check Sakellaridis-Venkatesh conjectures giving a description of the discrete spectrum of a spherical variety X = G/H in the Langlands-Arthur formalism when G is a classical real group and X is a symmetric space. Then, we compute explicitly the representations in the relevant Arthur paquets which appear in the discrete spectrum, and we establish some multiplicity one results.
Keywords
Discrete spectrum; symmetric spaces; Arthur parameters
Hrčak ID:
313638
URI
Publication date:
24.1.2024.
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