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The dual pair \((U(1),U(1))\) over a \(p\)-adic field

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Publication:1314979
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DOI10.2140/pjm.1993.158.365zbMath0789.22034OpenAlexW2005576493MaRDI QIDQ1314979

Courtney Moen

Publication date: 1 March 1994

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

Full work available at URL: https://doi.org/10.2140/pjm.1993.158.365

zbMATH Keywords

metaplectic representationWeil representationmetaplectic group\(p\)-adic fielddual reductive pairtheta correspondences


Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50)


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Local theta correspondences between epipelagic supercuspidal representations, Relating invariant linear form and local epsilon factors via global methods. (With an appendix by Hiroshi Saito), Theta dichotomy for unitary groups, Supercuspidal representations and preservation principle of theta correspondence, Local theta correspondence for small unitary groups, Eigenfunctions of the Weil representation of unitary groups of one variable, \(\Theta\)-correspondences \((U(1),U(2))\). I: Unramified case, \(\Theta\)-correspondences \((U(1),U(2))\). II: Ramified case



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