These pages are not updated anymore. For the current production of this journal, please refer to http://www.jstor.org/journals/0003486x.html.
Annals of Mathematics, II. Series Vol. 151, No. 2, pp. 817847 (2000) 

Normalisation des opérateurs d'entrelacement et réductibilité des induites de cuspidales; le cas des groupes classiques $p$adiques. (Normalization of intertwining operators and reducibility of representations induced from cuspidal ones; the case of $p$adic classical groups)C. MoeglinReview from Zentralblatt MATH: Let $G(n)$ denote a symplectic or an orthogonal group of rank $n$ over a nonarchimedean local field $F$. Let $\pi$ be an irreducible cuspidal representation of $G(n,F)$ and $\rho$ an irreducible unitary cuspidal representation of $\text{GL} (c,F)$. Then $\text{GL} (c)\times G(n)$ is imbedded in $G(n+c)$ as a Levi group of a maximal parabolic subgroup and we have the induced representation $I(\rho,\pi,s) = \rho \text{det}^s \times \pi$ of $\text{GL} (n+c,F)$. The subject of the article is the determination of the values of $s$ for which this representation is reducible and the normalization of the intertwining operators from $I(\rho,\pi,s)$ to $I(\rho^{\ast},\pi,s)$. A normalization is given under the assumption that $\pi$ comes from a global representation which satisfies a certain functoriality condition with respect to a general linear group. Reviewed by J.G.M.Mars Classification (MSC2000): 22E50 Full text of the article:
Electronic fulltext finalized on: 27 Apr 2001. This page was last modified: 22 Jan 2002.
© 2001 Johns Hopkins University Press
