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Paquets d'Arthur pour les groupes classiques; point de vue combinatoire
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The aim of this work, is to describe fairly explicitly a general Arthur's packet for a classical group. The problem to be solved, here, is the decompostion of induced representations. Following previous work on general linear group, such a description implies the needed transfer for the representations in Arthur's packet.
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Cited by 3 Pith papers
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Unitary dual of $p$-adic split $\mathrm{SO}_{2n+1}$ and $\mathrm{Sp}_{2n}$: The good parity case (and slightly beyond)
For p-adic split SO_{2n+1} and Sp_{2n}, irreducible representations of good parity are unitary if and only if they are of Arthur type.
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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.
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On Jiang's wavefront sets conjecture for representations in local Arthur packets
Jiang's wavefront set conjecture is reduced via character identities and matching to wavefront set properties of bi-torsor GL representations, which follow from Atobe-Ciubotaru when residue characteristic is large.
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