The Saito-Kurokawa Space of PGSp4 and Its Transfer to Inner Forms

DOI10.1007/978-0-8176-4639-4_3zbMath1244.11054OpenAlexW29244023MaRDI QIDQ3504292

Gan, Wee Teck

Publication date: 11 June 2008

Published in: Eisenstein Series and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-8176-4639-4_3

zbMATH Keywords

Weil representationstheta correspondenceSaito-Kurokawa representationsPGSp(4)

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (11)

The Shimura-Waldspurger correspondence for \(\mathrm{Mp}_{2n}\) ⋮ On the theta correspondence for (𝐺𝑆𝑝(4),𝐺𝑆𝑂(4,2)) and Shalika periods ⋮ On special Bessel periods and the Gross-Prasad conjecture for \(\mathrm {SO}(2n+1) \times \mathrm {SO}(2)\) ⋮ Nonvanishing square-integrable automorphic cohomology classes: the case \(\operatorname{GL}(2)\) over a central division algebra ⋮ Local root numbers, Bessel models, and a conjecture of Guo and Jacquet ⋮ Paramodular forms in CAP representations of ${\rm GSp}(4)$ ⋮ Normalized local theta correspondence and the duality of inner product formulas ⋮ AN EQUIDISTRIBUTION THEOREM FOR HOLOMORPHIC SIEGEL MODULAR FORMS FOR AND ITS APPLICATIONS ⋮ LIFTING TO GL(2) OVER A DIVISION QUATERNION ALGEBRA, AND AN EXPLICIT CONSTRUCTION OF CAP REPRESENTATIONS ⋮ Jacobi Maaß forms ⋮ The non-tempered \(\theta_{10}\) Arthur parameter and Gross-Prasad conjectures

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