Unitary Shimura correspondences for split real groups

Adams, J.; Barbasch, D.; Paul, A.; Trapa, P.; Vogan, D., Jr.

doi:10.1090/S0894-0347-06-00530-3

Unitary Shimura correspondences for split real groups
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by J. Adams, D. Barbasch, A. Paul, P. Trapa and D. A. Vogan Jr.

J. Amer. Math. Soc. 20 (2007), 701-751

DOI: https://doi.org/10.1090/S0894-0347-06-00530-3

Published electronically: April 11, 2006

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Abstract:

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.

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