arXiv subjects
Publications and source records attributed to Colette Moeglin.
In this paper, one proves an idea expressed by Clozel: inside an Arthur's packet, one has the representations in the Langlands' packet inside the Arthur's packet and more tempered representations than these representations
In this paper we prove holomorphy for certain intertwining operators arising from the theory of Eisenstein series.
This paper deals with the Langlands' classification for discrete series of unitary quasi-split p-adic groups. We show that such a classification follows from Arthur's work on the simple trace formula which we can use now thanks to Laumon-Ngo's proof of the fundamental lemma and Waldspurger's work on the consequences of it on the transfer.
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.
The goal of this paper is to prove how Arthur's results, in the case of split odd orthogonal p-adic groups, imply the Langlands' classification of discrete series. Of course this need the validity of ''fundamental'' lemmas which are not yet available. And this include a Langlands' classification of cuspidal irreducible representations for such groups.
The goal of this paper is to develop the combinatorics needed to understand in an explicit way the transfer between classical groups and general linear groups
In this paper we construct some packets of representations which have to correspond to relatively general Arthurs packets; this is for any classical group $G$ over a p-adic field $F$. An Arthur's packet correspond to a map $ψ$ from $W_{F} \times SL(2,{\mathbb C}) \times SL(2,{\mathbb C})$ into the $L$-group of $G$. The packets we consider here have the property that the centralizer of $ψ$ in the dual group is a finite groupe. Our construction is a combinatorial one which reduce the study of the representations in such a packet to tempered representation of eventualy smaller groups; in fact we give a precise description of the representations associated to $ψ$ and a character of the centralizer of $ψ$ in the L-group in the Grothendieck group. Stability properties follow easily from analogous properties for the tempered packet which enter the situation.
In this paper, we construct stable distributions on the set of elliptic elements of an odd orthogonal groups (over a p-adic field with p large). Theses distributions are of zero level. They are parametrised by Langlands like parameters. In the second part of the paper, we show how to interpret these distributions in term of characters of discrete series; this is conditional to a result of A.-M. Aubert which announces how to reduce the zero level case to the case of unipotent reduction using the Lusztig's induction. But, modulo this explicit hypothesis, we prove that our computation will determine all the stable linear combinations of discrete series of zero level for $SO(2n+1)$. The link between the parameters of stable distributions and stable linear combinations of discrete series is done by using a Fourier like involution on the set of parameters.