On twisted lifting

Flicker, Yuval Z.

doi:10.1090/S0002-9947-1985-0787960-0

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On twisted lifting

Author: Yuval Z. Flicker
Journal: Trans. Amer. Math. Soc. 290 (1985), 161-178
MSC: Primary 11F70; Secondary 11R39, 11S37, 22E55
MathSciNet review: 787960
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Abstract: If $\sigma$ is a generator of the galois group of a finite cyclic extension 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 , then the irreducible admissible or automorphic representations $\pi$ of ${\text{GL}}(n)$ over with $^\sigma \pi \cong \pi \otimes \varepsilon$ are determined.

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