Construction of discrete series for classical p-adic groups

By Colette Mœglin, Marko Tadic. 2002

178 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d0a337a162e5666d103e9438f2b18f49068edff2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Bin Xu
2. C. Moeglin
3. Erez Lapid
4. Marko Tadic
5. S. Rallis
6. S. Kudla
7. G. Muić
8. W. Gan

In Geometry and Topology

1. Bin Xu
2. C. Moeglin
3. Erez Lapid
4. Marko Tadic
5. G. Muić
6. S. Rallis
7. S. Kudla
8. Wei Zhang

In Mathematical Physics

1. Bin Xu
2. Erez Lapid
3. C. Moeglin
4. Marko Tadic
5. G. Muić
6. S. Rallis
7. S. Kudla
8. W. Gan

Citations in the corpus

• On Mœglin's Parametrization of Arthur Packets for p-adic Quasisplit Sp (N) and SO(N) (2015, methodology): “ct approach. So instead, we will follow [Mœg06b] to construct systematically a class of representations which generalizes the construction of discrete series representations of Mœglin and Tadi´c (see [MT02] and also [Xu15], Section 10). This class of representations will form the candidates for elem”
• Classification et changement de base pour les séries discrètes des groupes unitaires p-adiques (2006, background): “Ceci prouve les hypothèses de base utilisées dans [13] et [14].”
• On the generic unitary dual of quasisplit classical groups (2004, background): “In particular, the square-integrable, tempered, and generic representations, as well as the reducibility points of generalized principal series were classified, under certain assumptions, in terms of supercuspidal representations [6, 7, 16, 19].”
• On First Occurrence in the Local Theta Correspondence (2004, methodology): “In the nonarchimedean case, there is work of Muiç, [14], who proves the conservation relation for discrete series representations π ∈ Irrds(G′n) in the case of even parity, using the work of Moeglin and Tadic [12].”
• Paquets stables des séries discrètes accessibles par endoscopie tordue; leur paramètre de Langlands (2012, background): “…`a cet endroit par commodit´e mais on d´emontre finalement (en 7.2) que l’on n’a en fait pas chang´e la d´efinition originelle de [19] et [23] On montre aussi facilement que si π et π ′ sont des s´eries discr`etes du groupe classique telle que π st n’est pas orthogonal `a π ′ st alors π…”