
arXiv: 1802.06909
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.
Mathematics - Number Theory, type theory, local Langlands correspondence, Representations of Lie and linear algebraic groups over local fields, Mathematics - Representation Theory, Langlands-Weil conjectures, nonabelian class field theory, beta-extensions
Mathematics - Number Theory, type theory, local Langlands correspondence, Representations of Lie and linear algebraic groups over local fields, Mathematics - Representation Theory, Langlands-Weil conjectures, nonabelian class field theory, beta-extensions
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