Additive versus abelian 2-representations of fiat 2-categories

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Mazorchuk, Volodymyr and Miemietz, Vanessa (2014) Additive versus abelian 2-representations of fiat 2-categories. Moscow Mathematical Journal, 14 (3). 595–615. ISSN 1609-4514

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Abstract

We study connections between additive and abelian 2-rep- resentations of fiat 2-categories, describe combinatorics of 2-categories in terms of multisemigroups and determine the annihilator of a cell 2- representation. We also describe, in detail, examples of fiat 2-categories associated to sl2-categorification in the sense of Chuang and Rouquier, and 2-categorical analogues of Schur algebras.

Item Type:	Article
Uncontrolled Keywords:	2-category,2-representation,functor,natural transformation,additive category,abelian category
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.mathjournals.org/mmj/2014-014...
Depositing User:	Pure Connector
Date Deposited:	09 Jun 2014 13:34
Last Modified:	16 Dec 2024 01:21
URI:	https://ueaeprints.uea.ac.uk/id/eprint/48582
DOI:

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