TY - JOUR

T1 - Unitary quasi-lifting

T2 - Applications

AU - Flicker, Yuval Z.

PY - 1986/4

Y1 - 1986/4

N2 - Let U(3) be the quasi-split unitary group in three variables defined using a quadratic extension E/F of number fields. Complete local and global results are obtained for the (σ-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 ∪(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 identity of trace formulas, and base change transfer of orbital integrals of spherical functions.

AB - Let U(3) be the quasi-split unitary group in three variables defined using a quadratic extension E/F of number fields. Complete local and global results are obtained for the (σ-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 ∪(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 identity of trace formulas, and base change transfer of orbital integrals of spherical functions.

UR - http://www.scopus.com/inward/record.url?scp=0008984109&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-1986-0825721-5

DO - 10.1090/S0002-9947-1986-0825721-5

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AN - SCOPUS:0008984109

SN - 0002-9947

VL - 294

SP - 553

EP - 565

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 2

ER -