Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Lie Theory 23 (2013), No. 4, 1191--1200Copyright Heldermann Verlag 2013 Intertwining Operators Between Line Bundles on Grassmannians Dmitry Gourevitch Faculty of Mathematics and Computer Science, Weizmann Institute of Science, POB 26, Rehovot 76100, Israel dimagur@weizmann.ac.il Siddhartha Sahi Dept. of Mathematics, Rutgers University, Hill Center -- Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, U.S.A. sahi@math.rugers.edu [Abstract-pdf] Let $G={\rm GL}(n,F)$ where $F$ is a local field of arbitrary characteristic, and let $\pi_{1},\pi_{2}$ be representations induced from characters of two maximal parabolic subgroups $P_{1},P_{2}$. We explicitly determine the space ${\rm Hom}_{G}\left(\pi_{1},\pi_{2}\right)$ of intertwining operators and prove that it has dimension $\leq1$ in all cases. Keywords: Reductive group, maximal parabolic, degenerate principal series, derivatives of representations, Radon transform, cosine transform. MSC: 22E50, 44A05, 44A12 [ Fulltext-pdf  (317  KB)] for subscribers only.