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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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On twisted lifting
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by Yuval Z. Flicker PDF
Trans. Amer. Math. Soc. 290 (1985), 161-178 Request permission

Abstract:

If $\sigma$ is a generator of the galois group of a finite cyclic extension $E/F$ of local or global fields, and $\varepsilon$ is a character of ${C_E}( = {E^ \times }\;{\text {or}}\;{E^ \times }\backslash {{\mathbf {A}}^ \times })$ whose restriction to ${C_F}$ has order $n$, then the irreducible admissible or automorphic representations $\pi$ of ${\text {GL}}(n)$ over $E$ with $^\sigma \pi \cong \pi \otimes \varepsilon$ are determined.
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Additional Information
  • © Copyright 1985 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 290 (1985), 161-178
  • MSC: Primary 11F70; Secondary 11R39, 11S37, 22E55
  • DOI: https://doi.org/10.1090/S0002-9947-1985-0787960-0
  • MathSciNet review: 787960