Unitary quasi-lifting: Applications

Yuval Z. Flicker

doi:10.1090/S0002-9947-1986-0825721-5

Unitary quasi-lifting: Applications

Yuval Z. Flicker

Research output: Contribution to journal › Article › peer-review

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Abstract

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.

Original language	English
Pages (from-to)	553-565
Number of pages	13
Journal	Transactions of the American Mathematical Society
Volume	294
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9947-1986-0825721-5
State	Published - Apr 1986
Externally published	Yes

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10.1090/S0002-9947-1986-0825721-5

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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.

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Unitary quasi-lifting: Applications

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