Theta correspondence for \(p\)-adic dual pairs of type I

DOI10.1515/crelle-2021-0006zbMath1478.11075OpenAlexW3125539594MaRDI QIDQ2043598

Petar Bakić, Marcela Hanzer

Publication date: 3 August 2021

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crelle-2021-0006

zbMATH Keywords

theta liftdual pairsadmissible representations of \(p\)-adic groups

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)

Related Items (3)

Theta lifting and Langlands functoriality ⋮ Big theta equals small theta generically ⋮ Automorphic forms, geometry and arithmetic. Abstracts from the workshop held August 22--28, 2021 (hybrid meeting)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Jacquet modules of ladder representations
• On the structure of theta lifts of discrete series for dual pairs \((\text{Sp}(n), \text{O}(V))\)
• On the local theta-correspondence
• Howe correspondences on a \(p\)-adic field
• Local theta correspondence of tempered representations and Langlands parameters
• Structure arising from induction and Jacquet modules of representations of classical \(p\)-adic groups
• Theta lifts of generic representations for dual pairs \((\mathrm{Sp}_{2n}, \mathrm{O}(V))\)
• Parabolic induction and Jacquet functors for metaplectic groups
• Formal degrees and local theta correspondence
• The Gross-Prasad conjecture and local theta correspondence
• Generic representations of metaplectic groups and their theta lifts
• A proof of the Howe duality conjecture
• The Langlands quotient theorem for finite central extensions of p-adic groups
• Transcending Classical Invariant Theory
• Le spectre résiduel de ${\rm GL}(n)$
• On the Weil-Siegel formula II.
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Construction of discrete series for classical 𝑝-adic groups
• Howe correspondence for discrete series representations; the case of (Sp(n);O(V))
• Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
• Reducibility and discrete series in the case of classical p-adic groups; an approach based on examples
• Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence
• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• Theta lifts of generic representations: the case of odd orthogonal groups
• Endoscopic Classification of representations of Quasi-Split Unitary Groups
• Conservation relations for local theta correspondence
• On a determinantal formula of Tadić

This page was built for publication: Theta correspondence for \(p\)-adic dual pairs of type I