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 |
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Uncontrolled Keywords: | 2-category,2-representation,functor,natural transformation,additive category,abelian category |
Faculty \ School: | Faculty of Science > School of Mathematics |
Related URLs: | |
Depositing User: | Pure Connector |
Date Deposited: | 09 Jun 2014 13:34 |
Last Modified: | 06 May 2022 00:50 |
URI: | https://ueaeprints.uea.ac.uk/id/eprint/48582 |
DOI: |
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