Periods of residual representations of SO(2l) |
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| Authors: | David Ginzburg Dihua Jiang Stephen Rallis |
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| Affiliation: | (1) School of Mathematical Sciences, Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat-Aviv, 69978, Israel;(2) School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA;(3) Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA |
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| Abstract: | In this paper, we extend the results on G2-period of residual representations of SO8 in [Jng98a], [Jng98b] to a generalized G2-period of residual representations of SO2l (l 4). The period is expected to detect the nonvanishing of the relevant tensor product L-function at the center of the symmetry, which is a special case of the Gross- Prasad conjecture. More general cases will be considered in our forth-coming work [GJRa], [GJRb].The second named author is partially supported by NSF grant DMS-0098003 and the Sloan Research Fellowship. |
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