The essentially tame local Langlands correspondence, I
By C. Bushnell, G. Henniart. 2005
100 citations recorded by the source corpus.
1. Let F be a non-Archimedean local field; we assume throughout that the residue field kp of F is finite, of characteristic p. Let Wp be the Weil group of F, formed relative to some separable algebraic closure of F. For each integer n ^ 1, let Sn(F) be the set of equivalence classes of irreducible smooth (complex) representations of Wp of dimension n. Likewise, let An(F) be the set of equivalence classes of irreducible supercuspidal representations of the group GLn(F). The Langlands correspondence gives a bijection
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
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Citations in the corpus
- Epipelagic $$L$$L-packets and rectifying characters (2012, methodology): “The role of choosing the correct L-embedding in our construction is somewhat parallel to the role of the rectifying character in the work of Bushnell and Henniart.”
- Regular supercuspidal representations (2016, result): “ering filtration subgroup of inertia whose image under ϕis detected by a given root of Gb. This is reminiscent of the study of the jumps of an admissible character in the work of Bushnell and Henniart [BH05a], [BH05b]. Once the representations πj are determined, the L-packet is defined to be the set {”
- The essentially tame local Langlands correspondence, III: the general case (2010, methodology): “As in [10] and [11] however, the reader may be confident that the results and methods apply unchanged in positive characteristic.”