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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Unitary quasilifting: applications
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by Yuval Z. Flicker PDF
Trans. Amer. Math. Soc. 294 (1986), 553-565 Request permission

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 $\sigma$-endo-(unstable) lifting from $U(2)$ to ${\text {GL}}(3, E)$. 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 ${\text {GL}}(3, E)$. Base change quasi-lifting is also proven. Continuing the work of $\left [ {\mathbf {I}} \right ]$, 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.
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 294 (1986), 553-565
  • MSC: Primary 11F70; Secondary 22E55
  • DOI: https://doi.org/10.1090/S0002-9947-1986-0825721-5
  • MathSciNet review: 825721