Nontempered A-packets of G 2: Liftings from SL 2 Academic Article uri icon

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.

publication date

  • October 1, 2006