Coidempotent subcoalgebras and short exact sequences of finitary 2-representations

Chan, Aaron and Miemietz, Vanessa (2021) Coidempotent subcoalgebras and short exact sequences of finitary 2-representations. Nagoya Mathematical Journal, 243. pp. 316-341. ISSN 0027-7630

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Abstract

In this article, we study short exact sequences of finitary 2-representations of a weakly fiat 2-category. We provide a correspondence between such short exact sequences with fixed middle term and coidempotent subcoalgebras of a coalgebra 1-morphism defining this middle term. We additionally relate these to recollements of the underlying abelian 2-representations.

Item Type:	Article
Uncontrolled Keywords:	2010 mathematics subject classification 18d05 16g10,mathematics(all) ,/dk/atira/pure/subjectarea/asjc/2600
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Algebra, Number Theory, Logic, and Representations (ANTLR)
Related URLs:	http://www.scopus.com/inward/record.url?... https://arxiv.org/abs/1901.04685
Depositing User:	LivePure Connector
Date Deposited:	12 Feb 2020 05:38
Last Modified:	23 Oct 2025 23:50
URI:	https://ueaeprints.uea.ac.uk/id/eprint/74156
DOI:	10.1017/nmj.2020.1

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