Tannaka duality, coclosed categories and reconstruction for nonarchimedean bialgebras
Representation Theory
2021-02-16 v4 Category Theory
Number Theory
Abstract
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 -adic groups.
Keywords
Cite
@article{arxiv.1411.3183,
title = {Tannaka duality, coclosed categories and reconstruction for nonarchimedean bialgebras},
author = {Anton Lyubinin},
journal= {arXiv preprint arXiv:1411.3183},
year = {2021}
}
Comments
Major corrections, conditions for the main result strengthened. To appear in Applied Categorical Structures