The dual pair (U(3),U(1)) over a p-adic field

DOI10.2140/pjm.1987.127.141zbMath0675.22008OpenAlexW1572339533MaRDI QIDQ1122011

Courtney Moen

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2140/pjm.1987.127.141

zbMATH Keywords

symplectic groupmetaplectic representationWeil representationcharacter groupirreducible constituentsupercuspidal representationsprincipal seriesirreducible admissible representationp-adic fielddual reductive pairmaximal compact subgroupsHowe's correspondence

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (3)

Twisted GGP problems and conjectures ⋮ Local theta correspondence for small unitary groups ⋮ Eigenfunctions of the Weil representation of unitary groups of one variable

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