Unitary Shimura Correspondences for Split Real Groups

  title={Unitary Shimura Correspondences for Split Real Groups},
  author={Peter Engel Trapa and David Alexander Vogan},
We find a relationship between certain complementary series representations for nonlinear coverings of split simple groups, and spherical complementary series for (different) linear groups. The main technique is Barbasch’s method of calculating some intertwining operators purely in terms of the Weyl group. Department of Mathematics, University of Maryland, College Park, Maryland 20742 E-mail address: jda@math.umd.edu Department of Mathematics, Cornell University, Ithaca, New York 14853 E-mail… CONTINUE READING
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