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.
ASJC Scopus subject areas
- Mathematics (all)