The nonarchimedean theta correspondence for $\mathrm {GSp}(2)$ and $\mathrm {GO}(4)$

DOI10.1090/S0002-9947-99-02126-1zbMath0919.11033OpenAlexW1848788598MaRDI QIDQ4219180

Brooks Roberts

Publication date: 18 November 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-99-02126-1

zbMATH Keywords

local fieldsirreducible representationsdistinguished representationsnonarchimedean theta correspondenceorthogonal group of similitudes

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

Theta correspondences for 𝐺𝑆𝑝(4), Some local-global non-vanishing results for theta lifts from orthogonal groups, A remark on the failure of multiplicity one for \(\mathrm{GSp}(4)\), \(L\)-functions of \(S_3 (\varGamma _{2}(2,4,8))\), Descending congruences of theta lifts on \(\mathrm{GSp}_{4}\), On endoscopy and the refined Gross–Prasad conjecture for (SO₅, SO₄), Potential level-lowering for GSp(4), Bessel models for GSp(4), Symplectic models for unitary groups, Level-raising for Saito–Kurokawa forms, Quadratic base change for \(p\)-adic \(\text{SL}(2)\) as a theta correspondence. III. Pairing.

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