An inequality for local unitary theta correspondence

DOI10.5802/afst.1289zbMath1254.11049OpenAlexW2086601348MaRDI QIDQ540787

Yong-Cai Geng, Sumit K. Garg

Publication date: 3 June 2011

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/219835

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (10)

Refined global Gan-Gross-Prasad conjecture for Bessel periods ⋮ A \(p\)-adic arithmetic inner product formula ⋮ Formal degrees and local theta correspondence ⋮ The conservation relation for cuspidal representations ⋮ Theta correspondence for almost unramified representations of unitary groups ⋮ \(L\)-functions and theta correspondence for classical groups ⋮ The Hodge conjecture and arithmetic quotients of complex balls ⋮ Mixed Arithmetic Theta Lifting for Unitary Groups ⋮ Chow groups and \(L\)-derivatives of automorphic motives for unitary groups ⋮ Conservation relations for local theta correspondence

Cites Work

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• On the local theta-correspondence
• Howe correspondences on a \(p\)-adic field
• On some explicit formulas in the theory of Weil representation
• Splitting metaplectic covers of dual reductive pairs
• Degenerate principal series representations for \(U(n,n)\)
• Non-vanishing theorems for the cohomology of certain arithmetic quotients.
• Theta dichotomy for unitary groups
• L-functions and periods of polarized regular motives.

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