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 language | English |
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Pages (from-to) | 1105-1185 |
Number of pages | 81 |
Journal | American Journal of Mathematics |
Volume | 128 |
Issue number | 5 |
DOIs | |
State | Published - 1 Oct 2006 |
ASJC Scopus subject areas
- General Mathematics