THE LOCAL LANGLANDS CORRESPONDENCE FOR GLn OVER A p-ADIC FIELD
نویسنده
چکیده
The Local Langlands Conjecture posits the existence of a bijection between certain classes of irreducible representations of a reductive group G, such as GLnpKq, and certain ndimensional representations of an additive extension of the Weil group WK (closely related to the Galois group). Here we focus solely on the case G “ GLn and K is a p-adic field (such as Qp). The Local Langlands conjecture is inspired by the result for GL1pKq, namely local class field theory. Local class field theory gives an isomorphism of topological groups
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