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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Official URL: https://doi.org/10.1016/j.jalgebra.2022.10.027
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 |
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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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