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Unitary quasilifting: applications
No full textLet
U
(
3
)
U(3)
be the quasi-split unitary group in three variables defined using a quadratic extension
E
/
F
E/F
of number fields. Complete local and global results are obtained for the
σ
\sigma
-endo-(unstable) lifting from
U
(
2
)
U(2)
to
GL
(
3
,
E
)
{\text {GL}}(3,\,E)
. This is used to establish quasi-(endo-)lifting for automorphic forms from
U
(
2
)
U(2)
to
U
(
3
)
U(3)
by means of base change from
U
(
3
)
U(3)
to
GL
(
3
,
E
)
{\text {GL}}(3,\,E)
. Base change quasi-lifting is also proven. Continuing the work of
[
I
]
\left [ {\mathbf {I}} \right ]
, 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.</p
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