Arthur packets for pure real forms of symplectic and special orthogonal groups
Canadian mathematical bulletin, Tome 68 (2025) no. 4, pp. 1047-1068
Voir la notice de l'article provenant de la source Cambridge
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.
Robert, Nicolas Arancibia; Mezo, Paul. Arthur packets for pure real forms of symplectic and special orthogonal groups. Canadian mathematical bulletin, Tome 68 (2025) no. 4, pp. 1047-1068. doi: 10.4153/S000843952500027X
@article{10_4153_S000843952500027X,
author = {Robert, Nicolas Arancibia and Mezo, Paul},
title = {Arthur packets for pure real forms of symplectic and special orthogonal groups},
journal = {Canadian mathematical bulletin},
pages = {1047--1068},
year = {2025},
volume = {68},
number = {4},
doi = {10.4153/S000843952500027X},
url = {http://geodesic.mathdoc.fr/articles/10.4153/S000843952500027X/}
}
TY - JOUR AU - Robert, Nicolas Arancibia AU - Mezo, Paul TI - Arthur packets for pure real forms of symplectic and special orthogonal groups JO - Canadian mathematical bulletin PY - 2025 SP - 1047 EP - 1068 VL - 68 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/S000843952500027X/ DO - 10.4153/S000843952500027X ID - 10_4153_S000843952500027X ER -
%0 Journal Article %A Robert, Nicolas Arancibia %A Mezo, Paul %T Arthur packets for pure real forms of symplectic and special orthogonal groups %J Canadian mathematical bulletin %D 2025 %P 1047-1068 %V 68 %N 4 %U http://geodesic.mathdoc.fr/articles/10.4153/S000843952500027X/ %R 10.4153/S000843952500027X %F 10_4153_S000843952500027X
Cité par Sources :