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Test vectors for finite periods and base change

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Published in 2020 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2019.106915

Abstract: Let $E/F$ be a quadratic extension of finite fields. By a result of Gow, an irreducible representation $\pi$ of $G = {\rm GL}_n(E)$ has at most one non-zero $H$-invariant vector, up to multiplication by scalars,… read more here.

Keywords: base change; test vectors; bessel function; base ... See more keywords