Cap representations of G2 and the spin L-function of PGSp6 |
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| Authors: | Wee Teck Gan and Nadya Gurevich |
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| Institution: | (1) Mathematics Department, University of California, San Diego, 9500 Gilman Drive, La Jolla, 92093, U.S.A.;(2) School of Mathematics, Ben-Gurion University of the Negev, POB 653, Be’er Sheva, 84105, Israel |
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| Abstract: | We give a construction of a family of CAP representations of the exceptional group G
2, whose existence is predicted by Arthur’s conjecture. These are constructed by lifting certain cuspidal representations of
PGS
p6. To show that the lifting is non-zero, we establish a Rankin-Selberg integral for the degree 8 Spin L-function of these cuspidal representations of PGS
p6. |
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