Tannaka duality, coclosed categories and reconstruction for nonarchimedean bialgebras

The topic of this paper is a generalization of Tannaka duality to coclosed categories. As an application we prove reconstruction theorems for coalgebras (and bialgebras) in categories of topological vector spaces over a nonarchimedean field K. In particular, our results imply reconstruction and reco...

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Bibliographic Details
Published in:arXiv.org 2021-02
Main Author: Lyubinin, Anton
Format: Article
Language:English
Subjects:
Categories
Reconstruction
Theorems
Vector spaces
Online Access:Get full text
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Summary:The topic of this paper is a generalization of Tannaka duality to coclosed categories. As an application we prove reconstruction theorems for coalgebras (and bialgebras) in categories of topological vector spaces over a nonarchimedean field K. In particular, our results imply reconstruction and recognition theorems for categories of locally analytic representations of compact \(p\)-adic groups.
ISSN:2331-8422