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Intertwining operators between line bundles on Grassmannians

Published 5 Mar 2013 in math.RT | (1303.1057v1)

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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