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

Wee Teck Gan, Nadya Gurevich

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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.

Original languageEnglish
Pages (from-to)1-52
Number of pages52
JournalIsrael Journal of Mathematics
Volume170
Issue number1
DOIs
StatePublished - 1 Mar 2009

ASJC Scopus subject areas

  • Mathematics (all)

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