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Nontempered A-packets ofG2: Liftings from [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i"/]
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 128, Number 5, October 2006
- pp. 1105-1185
- 10.1353/ajm.2006.0040
- Article
- Additional Information
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.