Theta lifts of generic representations: the case of odd orthogonal groups

DOI10.3336/gm.54.2.08zbMath1440.22030OpenAlexW2994916899MaRDI QIDQ5109020

Petar Bakić

Publication date: 7 May 2020

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://hrcak.srce.hr/229605

zbMATH Keywords

generic representationstheta correspondencerepresentation theory of \(p\)-adic groups

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items

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

Cites Work

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• On the local theta-correspondence
• Weil's representation and the spectrum of the metaplectic group
• On some explicit formulas in the theory of Weil representation
• Local theta correspondence of tempered representations and Langlands parameters
• Structure arising from induction and Jacquet modules of representations of classical \(p\)-adic groups
• Symplectic-orthogonal theta lifts of generic discrete series
• Parabolic induction and Jacquet functors for metaplectic groups
• \(R\)-groups for metaplectic groups
• 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
• The Generalized Injectivity Conjecture for Classical p -Adic Groups
• Theta Lifts of Tempered Representations for Dual Pairs (Sp_2n,O(V))
• Reducibility of Induced Representations for SP(2N) and SO(N)
• On the Uniqueness of Generic Representations in an $L$-Packet
• Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence
• Conservation relations for local theta correspondence
• The Langlands classification for non-connected \(p\)-adic groups