Generic cuspidal representations of \(U(2, 1)\)

DOI10.1515/FORUM-2020-0099OpenAlexW3138987127MaRDI QIDQ2126313

Santosh Nadimpalli

Publication date: 19 April 2022

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.05693

zbMATH Keywords

generic representationsBushnell-Kutzko typescuspidal representationsunitary group in 3 variables

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• Description of the admissible dual of \(U(2,1)(F)\) by the theory of types of C. Bushnell and P. Kutzko.
• Semisimple characters for \(p\)-adic classical groups
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• Depth-zero supercuspidal \(L\)-packets and their stability
• Semisimple types for \(p\)-adic classical groups
• The supercuspidal representations of \(p\)-adic classical groups
• Automorphic forms on GL (2)
• The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
• Types, paquets et changement de base : l’exemple de U(2, 1)(F₀). I. Types simples maximaux et paquets singletons
• On the realization of maximal simple types and epsilon factors of pairs
• On some generic very cuspidal representations
• Genericity of supercuspidal representations of p-adic Sp₄
• Representations of U (2,1) over a p-adic field.
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
• Local Character Expansions for Supercuspidal Representations of U(3)
• Generic representations for the unitary group in three variables

This page was built for publication: Generic cuspidal representations of \(U(2, 1)\)