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OverviewThis memoir studies reducibility in a certain class of induced representations for $Sp_{2n}(F)$ and $SO_{2n+1}(F)$, where $F$ is $p$-adic. In particular, it is concerned with representations obtained by inducing a one-dimensional representation from a maximal parabolic subgroup (i.e., degenerate principal series representations). Using the Jacquet module techniques of Tadic, the reducibility points for such representations are determined. When reducible, the composition series is described, giving Langlands data and Jacquet modules for the irreducible composition factors. Full Product DetailsAuthor: Chris JantzenPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: v. 124 Weight: 0.227kg ISBN: 9780821804827ISBN 10: 0821804820 Pages: 100 Publication Date: 30 December 1996 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents"Introduction Notation and preliminaries Components: useful special cases Reducibility points Components: the ""ramified"" case Components: the ""unramified"" case Composition series References."ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |