Twisted Exterior Square Lift from Gu(2, 2)e/f to Gl6/f
نویسندگان
چکیده
Suppose E/F is a quadratic extension of number fields and GU(2, 2) is the quasi-split unitary similitude group attached to E/F . We prove functoriality from globally generic cuspidal representations of GU(2, 2)(AF ) to automorphic representations of GL6(AF ) corresponding to the twisted exterior square map on the dual side. For a split quadratic algebra E/F , the twisted exterior square map reduces to the usual exterior square map from GL4(C) to GL6(C). We also discuss functoriality for the twisted symmetric fourth power map and discuss its relation with functoriality of the twisted exterior square.
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