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arXiv · 1303.1057

Intertwining operators between line bundles on Grassmannians

Dmitry Gourevitch·Siddhartha Sahi
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Abstract

Let G=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 $Hom_G(\pi_1,\pi_2)$ of intertwining operators and prove that it has dimension at most 1 in all cases.

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Dmitry Gourevitch, Siddhartha Sahi. 2013-03-05. Intertwining operators between line bundles on Grassmannians. https://arxiv.org/abs/1303.1057

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