Local theta lift for \(p\)-adic unitary dual pairs \(\text{U}(2)\times \text{U}(1)\) and \(\text{U}(2)\times \text{U}(3)\)

DOI10.1215/21562261-2019-0033zbMath1455.11073OpenAlexW3046394296MaRDI QIDQ2175038

Yasuhiko Ikematsu

Publication date: 27 April 2020

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

Full work available at URL: https://projecteuclid.org/euclid.kjm/1569376961

zbMATH Keywords

unitary groupendoscopylocal theta lift

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)

Related Items (1)

Formal degrees and the local theta correspondence: The quaternionic case

Cites Work

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• Howe correspondences on a \(p\)-adic field
• Splitting metaplectic covers of dual reductive pairs
• Endoscopy, theta-liftings, and period integrals for the unitary group in three variables.
• The Gross-Prasad conjecture and local theta correspondence
• A new type of limit theorems for the one-dimensional quantum random walk
• L-Indistinguishability For SL (2)
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
• ON DOUBLING CONSTRUCTION FOR REAL UNITARY DUAL PAIRS

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