Nontempered A-packets of G2: Liftings from SL2

Wee Teck Gan, Nadya Gurevich

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We give a construction of a family of nontempered (local and global) Arthur packets of the exceptional group G2. One particular local packet contains a reducible representation. Using a Rankin-Selberg integral, we show that the subspace of the discrete spectrum associated to each packet is a full near equivalence class and this implies the Arthur multiplicity formula for these packets.

Original languageEnglish
Pages (from-to)1105-1185
Number of pages81
JournalAmerican Journal of Mathematics
Volume128
Issue number5
DOIs
StatePublished - 1 Oct 2006

ASJC Scopus subject areas

  • Mathematics (all)

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