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.
|Number of pages||81|
|Journal||American Journal of Mathematics|
|State||Published - 1 Oct 2006|
ASJC Scopus subject areas
- Mathematics (all)