A note on the local theta correspondence for unitary similitude dual pairs

DOI10.1016/J.JNT.2013.03.012zbMath1295.22026arXiv1211.1769OpenAlexW2963939113MaRDI QIDQ740851

Chong Zhang

Publication date: 9 September 2014

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

Full work available at URL: https://arxiv.org/abs/1211.1769

zbMATH Keywords

Howe dualitysimilitude dual pairs

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)

Cites Work

• Unnamed Item
• Howe correspondences on a \(p\)-adic field
• On some explicit formulas in the theory of Weil representation
• Splitting metaplectic covers of dual reductive pairs
• The theta correspondence for similitudes
• Local Howe correspondence for groups of similitudes.
• COHOMOLOGICAL AUTOMORPHIC FORMS ON UNITARY GROUPS, II: PERIOD RELATIONS AND VALUES OF L-FUNCTIONS
• The local Langlands conjecture for GSp(4), II: The case of inner forms
• Conservation relations for local theta correspondence
• L-Functions of 2 × 2 Unitary Groups and Factorization of Periods of Hilbert Modular Forms
• Theta dichotomy for unitary groups

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