Distinguished representations of metaplectic groups

DOI10.1353/ajm.1998.0032zbMath0921.11028OpenAlexW2125648583MaRDI QIDQ4210856

Toshiaki Suzuki

Publication date: 28 March 1999

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

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm120.4.html

zbMATH Keywords

automorphic formsRankin-Selberg convolutiondistinguished representationsWhittaker modelsnon-archimedean local fieldmetaplectic coversGodement-Jacquet zeta function

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 (16)

Remarks on metaplectic tensor products for covers of \(\mathrm{GL}_r\) ⋮ Distinguished theta representations for certain covering groups ⋮ Local metaplectic correspondence and applications ⋮ TWISTED DOUBLING INTEGRALS FOR BRYLINSKI–DELIGNE EXTENSIONS OF CLASSICAL GROUPS ⋮ Multiplicity one theorems for the generalized doubling method (with an appendix by Avraham Aizenbud and Dmitry Gourevitch) ⋮ An asymptotic expansion of \((k, c)\)-functions for \(\mathrm{GL}_n (F)\) ⋮ Generalized Bump-Hoffstein conjecture for coverings of the general linear groups ⋮ Classical theta lifts for higher metaplectic covering groups ⋮ Metaplectic theta functions and global integrals ⋮ On certain global constructions of automorphic forms related to a small representation of \(F_4\) ⋮ Kazhdan-Lusztig representations and Whittaker space of some genuine representations ⋮ Criteria for the existence of cuspidal theta representations ⋮ Unramified Whittaker functions for certain Brylinski-Deligne covering groups ⋮ Unnamed Item ⋮ On the Local Coefficients Matrix for Coverings of $$\mathrm{SL}_2$$SL2 ⋮ Local Coefficients and Gamma Factors for Principal Series of Covering Groups

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