
Journal of Lie Theory 23 (2013), No. 4, 11911200 Copyright 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 088548019, U.S.A. sahi@math.rugers.edu [Abstractpdf] 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 [ Fulltextpdf (317 KB)] for subscribers only. 