Genericity and contragredience in the local Langlands correspondence
نویسندگان
چکیده
منابع مشابه
On the Local Langlands Correspondence
The local Langlands correspondence for GL(n) of a non-Archimedean local field F parametrizes irreducible admissible representations of GL(n, F ) in terms of representations of the Weil-Deligne group WDF of F . The correspondence, whose existence for p-adic fields was proved in joint work of the author with R. Taylor, and then more simply by G. Henniart, is characterized by its preservation of s...
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It is surprising that the following question has not been addressed in the literature: what is the contragredient in terms of Langlands parameters? Thus suppose G is a connected, reductive algebraic group defined over a local field F , and G(F ) is its F -points. According to the local Langlands conjecture, associated to an admissible homomorphism φ from the WeilDeligne group of F into the L-gr...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2013
ISSN: 1944-7833,1937-0652
DOI: 10.2140/ant.2013.7.2447