Journal of Lie Theory

no. 4
Intertwining Operators Between Line Bundles on Grassmannians
Journal of Lie Theory, Volume 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.
DOI: 10.5802/jolt.772
Classification: 22E50, 44A05, 44A12
Keywords: Reductive group, maximal parabolic, degenerate principal series, derivatives of representations, Radon transform, cosine transform 
@article{JOLT_2013_23_4_a16,
     author = {D. Gourevitch and S. Sahi},
     title = {Intertwining {Operators} {Between} {Line} {Bundles} on {Grassmannians}},
     journal = {Journal of Lie Theory},
     pages = {1191--1200},
     year = {2013},
     volume = {23},
     number = {4},
     doi = {10.5802/jolt.772},
     zbl = {1283.22013},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.772/}
}
TY  - JOUR
AU  - D. Gourevitch
AU  - S. 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  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.772/
DO  - 10.5802/jolt.772
ID  - JOLT_2013_23_4_a16
ER  - 
%0 Journal Article
%A D. Gourevitch
%A S. Sahi
%T Intertwining Operators Between Line Bundles on Grassmannians
%J Journal of Lie Theory
%D 2013
%P 1191-1200
%V 23
%N 4
%U https://jolt.centre-mersenne.org/articles/10.5802/jolt.772/
%R 10.5802/jolt.772
%F JOLT_2013_23_4_a16
D. Gourevitch; S. Sahi. Intertwining Operators Between Line Bundles on Grassmannians. Journal of Lie Theory, Volume 23 (2013) no. 4, pp. 1191-1200. doi: 10.5802/jolt.772

Cited by Sources: