Geodesic
Canonical $\beta$-extensions
Documenta mathematica, Tome 27 (2022), pp. 295-313.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We compare the level zero part of the type of a representation of $\mathrm{GL}(n)$ over a local non-archimedean field with the tame part of its Langlands parameter restricted to inertia. By normalizing this comparison, we construct canonical $\beta$-extensions of maximal simple characters.
Classification : 22E50, 11S37
Keywords: type theory, local Langlands correspondence, beta-extensions 
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Dotto, Andrea. Canonical \(\beta\)-extensions. Documenta mathematica, Tome 27 (2022), pp. 295-313. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a60/