On CAP automorphic representations of a split group of type D4

David Ginzburg, Dihua Jiang, Stephen Rallis

Research output: Contribution to journalArticlepeer-review

Abstract

We characterize a family of CAP (cuspidal representation associated to parabolic subgroup) automorphic representations of a split group G of type D4 in terms of G2-periods and Fourier coefficients attached to the subregular unipotent orbit of G. The existence of such CAP automorphic representations of G is proved by the theta correspondence using the exceptional automorphic theta functions on the split exceptional group of type E7.

Original languageEnglish
Pages (from-to)179-211
Number of pages33
JournalJournal fur die Reine und Angewandte Mathematik
Issue number552
DOIs
StatePublished - 2002

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