Central characters for smooth irreducible modular representations of \(\operatorname{GL}_2(\mathbb Q_p)\)

DOI10.4171/RSMUP/128-1zbMath1266.22018arXiv1107.0555MaRDI QIDQ1947818

Laurent Berger

Publication date: 26 April 2013

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0555

zbMATH Keywords

representation admitting a central charactersmooth irreducible modular representation

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (8)

The image of Colmez's Montreal functor ⋮ On non-abelian Lubin–Tate theory for ⋮ Non-admissible irreducible representations of 𝑝-adic 𝐺𝐿_{𝑛} in characteristic 𝑝 ⋮ Correspondance de Langlands locale $p$-adique et anneaux de Kisin ⋮ Factorisation de la cohomologie étale p-adique de la tour de Drinfeld ⋮ Representations of \(p\)-adic groups over commutative rings ⋮ Iwahori-Hecke model for supersingular representations of \(\mathrm{GL}_2(\mathbb{Q}_p)\) ⋮ A classification of the irreducible mod-\(p\) representations of \(U(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)\)

Cites Work

• Irreducible modular representations of GL\(_ 2\) of a local field
• Modular representations of \(GL_ 2\) of a local field: The ordinary, unramified case

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