Intertwining operators between line bundles on Grassmannians

Dmitry Gourevitch; Siddhartha Sahi

Intertwining operators between line bundles on Grassmannians

Representation Theory 2016-05-06 v1

Authors: Dmitry Gourevitch , Siddhartha Sahi

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.

Keywords

grassmannian varieties

Cite

@article{arxiv.1303.1057,
  title  = {Intertwining operators between line bundles on Grassmannians},
  author = {Dmitry Gourevitch and Siddhartha Sahi},
  journal= {arXiv preprint arXiv:1303.1057},
  year   = {2016}
}

Comments

7 pages

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