Canonical $\beta$-extensions

Andrea Dotto

doi:10.4171/dm/871

JournalsdmVol. 27pp. 295–313

Canonical $β$ -extensions

Andrea Dotto
Department of Mathematics, University of Chicago, Eckhart Hall, 5734 S University Ave, Chicago, IL 60637, USA

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Abstract

We compare the level zero part of the type of a representation of $GL (n)$ over a local non-archimedean field with the tame part of its Langlands parameter restricted to inertia. By normalizing this comparison, we construct canonical $β$ -extensions of maximal simple characters.

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Andrea Dotto, Canonical $β$ -extensions. Doc. Math. 27 (2022), pp. 295–313

DOI 10.4171/DM/871