Quadratic base change for \(p\)-adic \(\text{SL}(2)\) as a theta correspondence. III. Pairing.

DOI10.1006/jnth.2000.2509zbMath1152.22302OpenAlexW2024763908MaRDI QIDQ1590274

David Manderscheid

Publication date: 1 January 2001

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.2000.2509

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11S37) Modular correspondences, etc. (11F32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Description de la correspondance de Howe en termes de classification de Kazhdan-Lusztig. (Description of the Howe correspondence in terms of the Kazhdan-Lusztig classification)
• On the local theta-correspondence
• \(L\)-functions and the oscillator representation
• Howe correspondences on a \(p\)-adic field
• The Langlands conjecture for \(\mathrm{GL}_2\) of a local field
• Exercices dyadiques
• Quadratic base change for \(p\)-adic \(\text{SL}(2)\) as a theta correspondence. II. Jacquet modules.
• Automorphic forms on GL (2)
• Supercuspidal Duality for the Two-Fold Cover of SL 2 and the Split O 3
• Représentation de Weil et changement de base quadratique
• L-Indistinguishability For SL (2)
• The nonarchimedean theta correspondence for $\mathrm {GSp}(2)$ and $\mathrm {GO}(4)$
• Quadratic base change for 𝑝-adic 𝑆𝐿(2) as a theta correspondence I: Occurrence

This page was built for publication: Quadratic base change for \(p\)-adic \(\text{SL}(2)\) as a theta correspondence. III. Pairing.