Arthur packets for pure real forms of symplectic and special orthogonal groups - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

Arthur packets for pure real forms of symplectic and special orthogonal groups

Résumé

Arthur packets have been defined for pure real forms of symplectic and special orthogonal groups following two different approaches. The first approach, due to Arthur, Moeglin and Renard uses harmonic analysis. The second approach, due to Adams, Barbasch and Vogan uses microlocal geometry. We prove that the two approaches produce essentially equivalent Arthur packets. This extends previous work of the authors and J. Adams for the quasisplit real forms.

Dates et versions

hal-04523006 , version 1 (27-03-2024)

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Nicolas Arancibia Robert, Paul Mezo. Arthur packets for pure real forms of symplectic and special orthogonal groups. 2024. ⟨hal-04523006⟩
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