Integral Representation for U 3 × GL 2

Wambach, Eric

Canadian journal of mathematics, Tome 61 (2009) no. 6, pp. 1383-1406

Résumé

Gelbart and Piatetskii-Shapiro constructed various integral representations of Rankin–Selberg type for groups $G\,\times \,G{{L}_{n}}$ , where $G$ is of split rank $n$ . Here we show that their method can equally well be applied to the product ${{U}_{3}}\,\times \,G{{L}_{2}}$ , where ${{U}_{3}}$ denotes the quasisplit unitary group in three variables. As an application, we describe which cuspidal automorphic representations of ${{U}_{3}}$ occur in the Siegel induced residual spectrum of the quasisplit ${{U}_{4}}$ .

Détail

DOI : 10.4153/CJM-2009-066-9

Mots-clés : 11F70, 11F67

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