Unitary Shimura correspondences for split real groups

Adams, J.¹ ; Barbasch, D.² ; Paul, A.³ ; Trapa, P.⁴ ; Vogan, D., Jr.⁵

¹ Department of Mathematics, University of Maryland, College Park, Maryland 20742
² Department of Mathematics, Cornell University, Ithaca, New York 14853
³ Department of Mathematics, Western Michigan University, Kalamazoo, Michigan 49008
⁴ Department of Mathematics, University of Utah, Salt Lake City, Utah 84112
⁵ Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts, 02138

Journal of the American Mathematical Society, Tome 20 (2007) no. 3, pp. 701-751

Résumé

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.

Détail

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

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