| Description |
1 online resource (v, 88 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; number 1087 |
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Memoirs of the American Mathematical Society ; no. 1087.
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| Contents |
Introduction -- Representations of Weil groups -- Simple characters and tame parameters -- Action of tame characters -- Cuspidal representations -- Algebraic induction maps -- Some properties of the Langlands correspondence -- A naïve correspondence and the Langlands correspondence -- Totally ramified representations -- Unramified automorphic induction -- Discrepancy at a prime element -- Symplectic signs -- Main theorem and examples |
| Summary |
Let F be a non-Archimedean local field. Let \mathcal{W}_{F} be the Weil group of F and \mathcal{P}_{F} the wild inertia subgroup of \mathcal{W}_{F}. Let \widehat {\mathcal{W}}_{F} be the set of equivalence classes of irreducible smooth representations of \mathcal{W}_{F}. Let \mathcal{A}̂{0}_{n}(F) denote the set of equivalence classes of irreducible cuspidal representations of \mathrm{GL}_{n}(F) and set \widehat {\mathrm{GL}}_{F} = \bigcup _{n\ge 1} \mathcal{A}̂{0}_{n}(F). If \sigma \in \widehat {\mathcal{W}}_{F}, let ̂{L}{\sigma }\in \widehat {\mathrm{GL}}_{F} be the cuspidal representation m |
| Notes |
"Volume 231, number 1087 (fourth of 5 numbers), September 2014." |
| Bibliography |
Includes bibliographical references (pages 87-88) |
| Notes |
English |
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Print version record |
| Subject |
Local fields (Algebra)
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Representations of groups.
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Automorphic forms.
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Automorphic forms
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Local fields (Algebra)
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Representations of groups
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| Form |
Electronic book
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| Author |
Henniart, Guy, author
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American Mathematical Society, publisher.
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| ISBN |
1470417235 |
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9781470417239 |
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