Construction of discrete series for classical 𝑝-adic groups

Mœglin, Colette¹ ; Tadić, Marko²

¹ Institut de Mathématiques de Jussieu, CNRS, F-75251 Paris Cedex 05, France
² Department of Mathematics, University of Zagreb, Bijenička 30, 10000 Zagreb, Croatia

Journal of the American Mathematical Society, Tome 15 (2002) no. 3, pp. 715-786

Résumé

The classification of irreducible square integrable representations of classical $p$-adic groups is completed in this paper, under a natural local assumption. Further, this classification gives a parameterization of irreducible tempered representations of these groups. Therefore, it implies a classification of the non-unitary duals of these groups (modulo cuspidal data). The classification of irreducible square integrable representations is directly related to the parameterization of irreducible square integrable representations in terms of dual objects, which is predicted by Langlands program.

Détail

DOI : 10.1090/S0894-0347-02-00389-2

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