Theta dichotomy and doubling epsilon factors for Sp͠<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><i>n</i></sub>(<i>F</i>)

DOI10.1353/ajm.2011.0038zbMath1228.22019OpenAlexW2152693627MaRDI QIDQ3096223

Christian A. Zorn

Publication date: 8 November 2011

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

Full work available at URL: https://doi.org/10.1353/ajm.2011.0038

zbMATH Keywords

theta correspondencemetaplectic groupsdoubling epsilon factortheta dichotomy conjecture

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 (8)

A critical case of Rallis inner product formula ⋮ Theta dichotomy for the genuine unramified principal series of \(\widetilde{\text{Sp}}_2(F)\) ⋮ The doubling integral for the principal series of \(\mathrm{Sp}_n(F)\) and \(\widetilde{\mathrm{Sp}}_n(F)\) ⋮ Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence ⋮ \(L\)-functions and theta correspondence for classical groups ⋮ Higher-dimensional Kaluza-Klein theory in Weitzenböck space ⋮ Unnamed Item ⋮ Conservation relations for local theta correspondence

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