Galois coverings of enriched categories and an extension of Cohen-Montgomery theorem

Banerjee, A (2023) Galois coverings of enriched categories and an extension of Cohen-Montgomery theorem. In: Journal of Algebra, 616 . pp. 155-192.

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Abstract

The purpose of this paper is to give an intrinsic fundamental group and coverings for categories enriched over an abelian symmetric monoidal category (V,⊗,I). We relate this to various categorical constructions such as the universal covering, smash products and connected gradings of a small V-category B. Finally, we apply these methods to obtain an extension of Cohen-Montgomery duality theorem for coactions to the symmetric monoidal category (V,⊗,I).

Item Type:	Journal Article
Publication:	Journal of Algebra
Publisher:	Academic Press Inc.
Additional Information:	The copyright for this article belongs to Academic Press Inc.
Keywords:	Cohen-Montgomery theorem; Fundamental group; Galois V-coverings
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	28 Dec 2022 06:14
Last Modified:	28 Dec 2022 06:14
URI:	https://eprints.iisc.ac.in/id/eprint/78600

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