Big theta equals small theta generically

DOI10.1007/s10114-024-3236-5arXiv2309.06343OpenAlexW4392468414MaRDI QIDQ6151778

Rui Chen, Jialiang Zou

Publication date: 11 March 2024

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.06343

zbMATH Keywords

derivativestheta correspondence

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Theta series; Weil representation; theta correspondences (11F27) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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• The regularized Siegel-Weil formula (the second term identity) and the Rallis inner product formula
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• Formal degrees and local theta correspondence
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• On the Howe duality conjecture in classical theta correspondence
• Construction of discrete series for classical 𝑝-adic groups
• Some bounds on unitary duals of classical groups - non-archimeden case
• Invariants and -spectrums of local theta lifts
• The explicit Zelevinsky–Aubert duality

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