Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie

IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2018: 1.55

See all formats and pricing
More options …
Just Accepted


Sur l'irréductibilité d'une induite parabolique

Alberto Mínguez
  • Laboratoire de Mathématiques, Université Paris-Sud, Bât. 425, 91405 Orsay Cedex, France, CNRS UMR 8628. e-mail:
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar


Let F be a non-Archimedean locally compact field and let D be a central division algebra over F. Let π1 and π2 be respectively two smooth irreducible representations of GL(n 1, D) and GL(n 2, D), n 1, n 2 ≧ 0. In this article, we give some sufficient conditions on π1 and π2 so that the parabolically induced representation of π1 ⊗ π2 to GL(n 1 + n 2, D) has a unique irreducible quotient. In the case where π1 is a cuspidal representation, we compute the Zelevinsky's parameters of such a quotient in terms of the parameters of π2. This is the key point for making explicit Howe correspondence for dual pairs of type II (cf. [Mínguez, thesis, Orsay 2006]).

About the article

Received: 2007-05-11

Revised: 2008-02-04

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Pages -–-, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/CRELLE.2009.028.

Export Citation

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Shunsuke Yamana
Pacific Journal of Mathematics, 2013, Volume 264, Number 1, Page 235

Comments (0)

Please log in or register to comment.
Log in