Quaternionic Distinguished Representations

DOI10.2307/2374997zbMath0837.11030OpenAlexW2313056263MaRDI QIDQ4303466

Jeffrey Hakim, Yuval Z. Flicker

Publication date: 20 May 1996

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

Full work available at URL: https://semanticscholar.org/paper/df48b714b4006aa06b85592133840337a0c845ab

zbMATH Keywords

distinguished representationsimple trace formulairredicuble, automorphic discrete-series representationlocal distinguished representations

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (14)

The distinction problems for \(\operatorname{Sp}_4\) and \(\operatorname{SO}_{3,3}\) ⋮ A new proof to the period problems of \(\mathrm{GL}(2)\) ⋮ Quaternion distinguished representations and unstable base change for unitary groups ⋮ The Prasad conjectures for \(\mathrm{GSp}_4\) and \(\mathrm{PGSp}_4\) ⋮ ALGEBRAIC CYCLES ON COMPACT QUATERNIONIC SHIMURA FOURFOLDS AND POLES OF L-FUNCTIONS ⋮ Algebraic cycles on a product of two Hilbert modular surfaces ⋮ Distinguished representations and exceptional poles of the Asai \(L\)-function ⋮ CUSP FORMS ON GSp(4) WITH SO(4)-PERIODS ⋮ The \(\mathrm{PGSp}_{1,1}(\mathbb{A})\)-distinguished representations ⋮ The \(\operatorname{SL}_1(D)\)-distinction problem ⋮ Automorphic forms with anisotropic periods on a unitary group ⋮ A local-global question in automorphic forms ⋮ Periods of automorphic forms ⋮ A trace formula for symmetric spaces

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