1Faculty of Mathematics and Computer Science, Weizmann Institute of Science, POB 26, Rehovot 76100, Israel 2Dept. of Mathematics, Rutgers University, Hill Center -- Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, U.S.A.
Journal of Lie Theory, Tome 23 (2013) no. 4, pp. 1191-1200
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.
1
Faculty of Mathematics and Computer Science, Weizmann Institute of Science, POB 26, Rehovot 76100, Israel
2
Dept. of Mathematics, Rutgers University, Hill Center -- Busch Campus, 110 Frelinghuysen Road, Piscataway, NJ 08854-8019, U.S.A.
Dmitry Gourevitch; Siddhartha Sahi. Intertwining Operators Between Line Bundles on Grassmannians. Journal of Lie Theory, Tome 23 (2013) no. 4, pp. 1191-1200. http://geodesic.mathdoc.fr/item/JOLT_2013_23_4_a16/
@article{JOLT_2013_23_4_a16,
author = {Dmitry Gourevitch and Siddhartha Sahi},
title = {Intertwining {Operators} {Between} {Line} {Bundles} on {Grassmannians}},
journal = {Journal of Lie Theory},
pages = {1191--1200},
year = {2013},
volume = {23},
number = {4},
url = {http://geodesic.mathdoc.fr/item/JOLT_2013_23_4_a16/}
}
TY - JOUR
AU - Dmitry Gourevitch
AU - Siddhartha Sahi
TI - Intertwining Operators Between Line Bundles on Grassmannians
JO - Journal of Lie Theory
PY - 2013
SP - 1191
EP - 1200
VL - 23
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2013_23_4_a16/
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