A uniqueness theorem for representations of GSO(6) and the strong multiplicity one theorem for generic representations of GSp(4)

DOI10.1007/BF02771692zbMath0642.22003MaRDI QIDQ1101557

David Soudry

Publication date: 1987

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

zbMATH Keywords

irreducible representationautomorphic representationstheta-correspondencegeneric representationstrong multiplicity-one theorem

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)

Related Items

On the theta correspondence for (𝐺𝑆𝑝(4),𝐺𝑆𝑂(4,2)) and Shalika periods ⋮ On Whittaker models and the vanishing of Fourier coefficients of cusp forms ⋮ Big principal series, -adic families and -invariants ⋮ The theta correspondence for similitudes ⋮ A remark on the failure of multiplicity one for \(\mathrm{GSp}(4)\) ⋮ Galois representations for general symplectic groups ⋮ The local Langlands conjecture for \(\text{GSp}(4)\) ⋮ Local Shalika models and functoriality ⋮ Whittaker-orthogonal models, functoriality, and the Rankin-Selberg method ⋮ Unnamed Item ⋮ Characters, genericity, and multiplicity one for \(U(3)\) ⋮ The nonarchimedean theta correspondence for $\mathrm {GSp}(2)$ and $\mathrm {GO}(4)$ ⋮ Selmer groups and the Eisenstein-Klingen ideal. ⋮ \(p\)-adic \(L\)-functions for \(\text{GL}(2n)\)

Cites Work

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• The L and \(\gamma\) factors for generic representations of GSp(4,k)\(\times GL(2,k)\) over a local nonarchimedean field k
• Some examples of automorphic forms on Sp4
• The multiplicity one theorem for \(\mathrm{GL}_n\)
• On Euler Products and the Classification of Automorphic Representations I