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A COMBINATORIAL SOLUTION TO MŒGLIN’S PARAMETRIZATION OF ARTHUR PACKETS FOR
$p$-ADIC QUASISPLIT 
$Sp(N)$ AND 
$O(N)$
- Part of
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- Journal:
- Journal of the Institute of Mathematics of Jussieu / Volume 20 / Issue 4 / July 2021
- Published online by Cambridge University Press:
- 25 July 2019, pp. 1091-1204
- Print publication:
- July 2021
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- Article
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We develop a general procedure to study the combinatorial structure of Arthur packets for
$p$-adic quasisplit 
$\mathit{Sp}(N)$ and 
$O(N)$ following the works of Mœglin. This will allow us to answer many delicate questions concerning the Arthur packets of these groups, for example the size of the packets.
On Mœglin's Parametrization of Arthur Packets for p-adic Quasisplit Sp(N) and SO(N)
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- Journal:
- Canadian Journal of Mathematics / Volume 69 / Issue 4 / 01 August 2017
- Published online by Cambridge University Press:
- 20 November 2018, pp. 890-960
- Print publication:
- 01 August 2017
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- Article
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We give a survey on Mœglin's construction of representations in the Arthur packets for
$p$-adic quasisplit symplectic and orthogonal groups. The emphasis is on comparing Mœglin's parametrization of elements in the Arthur packets with that of Arthur.
