On a Conjecture of Jacquet, Lai, and Rallis: Some Exceptional Cases

Ginzburg, David ; Lapid, Erez

Canadian journal of mathematics, Tome 59 (2007) no. 6, pp. 1323-1340

Résumé

We prove two spectral identities. The first one relates the relative trace formula for the spherical variety $\text{GSpin(4,}\,\text{3)/}{{G}_{2}}$ with a weighted trace formula for $G{{L}_{2}}$ . The second relates a spherical variety pertaining to ${{F}_{4}}$ to one of $GSp\left( 6 \right)$ . These identities are in accordance with a conjecture made by Jacquet, Lai, and Rallis, and are obtained without an appeal to a geometric comparison.

Détail

DOI : 10.4153/CJM-2007-057-9

Mots-clés : 11F70, 11F72, 11F30, 11F67

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