A classification of the irreducible mod-\(p\) representations of \(U(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)\) (Q507076)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A classification of the irreducible mod-\(p\) representations of \(U(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)\) |
scientific article |
Statements
A classification of the irreducible mod-\(p\) representations of \(U(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)\) (English)
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3 February 2017
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Several aspects of the mod-\(p\) representation theory of unitary groups have already been considered by \textit{R. Abdellatif} [Autour des répresentations modulo \(p\) des groupes réductifs \(p\)-adiques de rang 1. Paris: Université Paris-Sud (PhD Thesis) (2011)], and by the author and \textit{P. Xu} [Represent. Theory 19, 56--93 (2015; Zbl 1315.22021)]. These representations are the ones which are expected to play a central role in the potential local Langlands correspondence.
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supersingular representations
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unitary groups
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mod-\(p\) representations
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local Langlands correspondence
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