Trace Paley-Wiener Theorem in the Twisted Case

DOI10.2307/2001166zbMath0663.22011OpenAlexW4246218331MaRDI QIDQ3812473

Jonathan D. Rogawski

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001166

zbMATH Keywords

intertwining operatorouter automorphismirreducible admissible representationp-adic fieldconnected reductive algebraic grouptheorem of Paley-Wiener type

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (15)

Automorphic induction for \(GL(n)\) (over local nonarchimedean fields) ⋮ The twisted group \(\mathrm {GL}_N\) over a \(p\)-adic field. I ⋮ On the cuspidal support of discrete series for \(p\)-adic quasisplit \(\mathrm{Sp}(N)\) and \(\mathrm{SO}(N)\) ⋮ The Invariant Trace Formula. I. Local Theory ⋮ Some results on the admissible representations of non-connected reductive p-adic groups ⋮ Twisted Lefschetz number formula and 𝑝-adic trace formula ⋮ Cocenters of \(p\)-adic groups. III: Elliptic and rigid cocenters ⋮ La formule des traces locale tordue ⋮ Regular trace formula and base change for \(GL(n)\) ⋮ The base change fundamental lemma for central elements in parahoric Hecke algebras ⋮ Corps de nombres peu ramifiés et formes automorphes autoduales ⋮ Unnamed Item ⋮ Endoscopic Classification of representations of Quasi-Split Unitary Groups ⋮ The Invariant Trace Formula. II. Global Theory ⋮ The fundamental lemma for stable base change

Cites Work

• Representations of \(GL(n)\) and division algebras over a p-adic field
• Trace Paley-Wiener theorem for reductive p-adic groups
• Characters and Jacquet modules
• Characters of Non-Connected, Reductive p-Abic Groups
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
• Induced representations of reductive ${\germ p}$-adic groups. I
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• Unnamed Item

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