Reducibility of the Principal Series for (F) over a p-adic Field

DOI10.4153/CJM-2010-046-0zbMath1202.22021OpenAlexW2081218413MaRDI QIDQ3580067

Christian A. Zorn

Publication date: 11 August 2010

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

Full work available at URL: https://doi.org/10.4153/cjm-2010-046-0

zbMATH Keywords

symplectic groupgenuine principal seriesmetaplectic extension

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (5)

Some irreducibility theorems of parabolic induction on the metaplectic group via the Langlands-Shahidi method ⋮ Some results in the theory of genuine representations of the metaplectic double cover of \(GSp_{2n}(F)\) over \(p\)-adic fields ⋮ 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 \(\widetilde{\mathrm{Sp}}_n(F)\) ⋮ Explicit doubling integrals for ̃𝑆𝑝₂(ℚ₂) using “good test vectors”

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