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Applied Categorical Structures

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20-02-2021

Tannaka Duality, Coclosed Categories and Reconstruction for Nonarchimedean Bialgebras

Author: Anton Lyubinin

Published in: Applied Categorical Structures | Issue 3/2021

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Abstract

The topic of this paper is a generalization of Tannaka duality to coclosed categories. As an application we prove reconstruction theorems for coalgebras (bialgebras, Hopf algebras) 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, which was the major motivation for this work.

previous article Tropical Duality in -Angulated Categories

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Title: Tannaka Duality, Coclosed Categories and Reconstruction for Nonarchimedean Bialgebras
Author: Anton Lyubinin
Publication date: 20-02-2021
Publisher: Springer Netherlands
Published in: Applied Categorical Structures / Issue 3/2021
Print ISSN: 0927-2852
Electronic ISSN: 1572-9095
DOI: https://doi.org/10.1007/s10485-021-09632-2

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