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Supercuspidal L-packets
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Let F be a non-archimedean local field and let G be a connected reductive group defined over F. We assume that G splits over a tame extension of F and that the residual characteristic p does not divide the order of the Weyl group. To each discrete Langlands parameter of the Weil group of F into the complex L-group of G we associate explicitly a finite set of irreducible supercuspidal representations of G(F), and relate its internal structure to the centralizer of the parameter. We give evidence that this assignment is an explicit realization of the local Langlands correspondence.
Forward citations
Cited by 3 Pith papers
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On parameters of Hecke algebras for $p$-adic groups
Depth-zero Hecke algebra parameters equal unipotent Hecke algebra parameters, proving a version of Lusztig's conjecture under tameness.
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The Aubert and Bernstein involutions for disconnected groups
Aubert and Bernstein dualities extend to disconnected reductive p-adic groups, with uniqueness, irreducibility preservation, character formulas, and a Steinberg representation for twisted endoscopy.
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The local Langlands correspondence of essentially unipotent supercuspidal representations for disconnected reductive groups
Constructs local Langlands correspondence for essentially unipotent supercuspidal representations with functoriality and automorphism equivariance, generalizing to disconnected reductive groups under a mild structural...
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