The paper proves the characterization of complementary Arthur representations for p-adic Sp_2n and split SO_{2n+1}: unitarity fails exactly when a reducible Speh factor appears an odd number of times.
Atobe, The set of local A-packets containing a given representation , Journal f\"ur die reine und angewandte Mathematik (Crelles Journal), vol
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On the complementary Arthur representations and unitary dual for p-adic classical groups
The paper proves the characterization of complementary Arthur representations for p-adic Sp_2n and split SO_{2n+1}: unitarity fails exactly when a reducible Speh factor appears an odd number of times.