On the symmetric square: unstable local transfer |
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| Authors: | Yuval Z. Flicker David A. Kazhdan |
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| Affiliation: | (1) Department of Mathematics, Harvard University, Science Center, One Oxford Street, 02138 Cambridge, MA, USA |
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| Abstract: | Summary We prove the  fundamental lemma for spherical functions with respect to the natural (induction) lifting fromPGL(2) toPGL(3) which appears as the unstable counterpart of the stable symmetric-square lifting fromSL(2) toPGL(3) (see [IV] for an introduction to this project, and [VI] for the final results). Thus spherical functions onPGL(2) andPGL(3) which correspond to each other by satisfying an elementary representation theoretic relation are shown to have matching orbital integrals. The proof of this local statement is based on an application of the global trace formula.Partially supported by NSF grants |
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