Vogan's conjecture on local Arthur packets of \(p\)-adic \(\operatorname{GL}_n\) and a combinatorial lemma

DOI10.2140/PJM.2024.333.331MaRDI QIDQ6656372

Author name not available (Why is that?)

Publication date: 2 January 2025

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Vogan's conjecturelocal Arthur packetslocal Arthur parameters

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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• The Langlands classification and irreducible characters for real reductive groups
• Representations of quivers of type \(A\) and the multisegment duality
• Construction of local \(A\)-packets
• Appearance of the Kashiwara-Saito singularity in the representation theory of \(p\)-adic \(\mathrm{GL}(16)\)
• The endoscopic classification of representations. Orthogonal and symplectic groups
• Holomorphie des opérateurs d’entrelacement normalisés à l’aide des paramètres d’Arthur
• Arthur packets for 𝑝-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples
• Sur certains paquets d’Arthur et involution d’Aubert-Schneider-Stuhler généralisée
• The explicit Zelevinsky–Aubert duality
• Proof of Vogan's conjecture on Arthur packets: irreducible parameters of \(p\)-adic general linear groups

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