Ordinary representation and cohomology

We can associate \(p\) -adic admissible unitary representation of \(\GL_2(\Q_p)\) to every local Galois representation. We prove if local Galois representations is ordinary then there exists a sub representation of this representation of \(\GL_2(\Q_p)\) that appears in ordinary parts of the cohomolo...

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Bibliographic Details
Published in:arXiv.org 2022-11
Main Author: Banerjee, Debargha
Format: Article
Language:English
Subjects:
Homology
Representations
Online Access:Get full text
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Summary:We can associate \(p\) -adic admissible unitary representation of \(\GL_2(\Q_p)\) to every local Galois representation. We prove if local Galois representations is ordinary then there exists a sub representation of this representation of \(\GL_2(\Q_p)\) that appears in ordinary parts of the cohomology. We give a positive answer to a question raised by Chojecki \cite{Chojecki18}.
ISSN:2331-8422