Unitary Quasi-Lifting: Applications

Yuval Z. Flicker
1986 Transactions of the American Mathematical Society  
Let U(3) be the quasi-split unitary group in three variables defined using a quadratic extension Ej F of number fields. Complete local and global results are obtained for the O'-endo-(unstable) lifting from U(2) to GL(3, E). This is used to establish quasi-( endo-)lifting for automorphic forms from U (2) to U (3) by means of base change from U(3) to GL(3, E). Base change quasi-lifting is also proven. Continuing the work of [I], the exposition is elementary, and uses only a simple form of an
more » ... tity of trace formulas, and base change transfer of orbital integrals of spherical functions.
doi:10.2307/2000199 fatcat:mrrnd2xvmrge3laqg2zy6o7mpq