Coidempotent subcoalgebras and short exact sequences of finitary 2-representations

Tools

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

Preview

PDF (Accepted_Manuscript) - Accepted Version
Download (333kB) | Preview

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
Faculty \ School:	Faculty of Science > School of Mathematics
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics
Related URLs:	https://arxiv.org/abs/1901.04685
Depositing User:	LivePure Connector
Date Deposited:	12 Feb 2020 05:38
Last Modified:	14 May 2023 00:17
URI:	https://ueaeprints.uea.ac.uk/id/eprint/74156
DOI:	10.1017/nmj.2020.1

Downloads

Downloads per month over past year

Actions (login required)

View Item