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Cap representations of G 2 and the spin L-function of PGS p6

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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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Authors and Affiliations

  1. Mathematics Department, University of California, San Diego, 9500 Gilman Drive, La Jolla, 92093, U.S.A.

    Wee Teck Gan

  2. School of Mathematics, Ben-Gurion University of the Negev, POB 653, Be’er Sheva, 84105, Israel

    Nadya Gurevich

Authors
  1. Wee Teck Gan
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  2. Nadya Gurevich
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Gan, W.T., Gurevich, N. Cap representations of G 2 and the spin L-function of PGS p6 . Isr. J. Math. 170, 1–52 (2009). https://doi.org/10.1007/s11856-009-0018-9

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  • DOI: https://doi.org/10.1007/s11856-009-0018-9

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