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Additive Versus Abelian 2-Representations of Fiat 2-Categories
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Moscow Mathematical Journal, ISSN 1609-3321, E-ISSN 1609-4514, Vol. 14, no 3, 595-615 p.Article in journal (Refereed) Published
Abstract [en]

We study connections between additive and abelian 2-representations of fiat 2-categories, describe combinatories 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 sl(2)-categorification in the sense of Chuang and Rouquier, and 2-categorical analogues of Schur algebras.

Place, publisher, year, edition, pages
2014. Vol. 14, no 3, 595-615 p.
Keyword [en]
2-category, 2-representation, functor, natural transformation, additive category, abelian category
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-236104ISI: 000342789400007OAI: oai:DiVA.org:uu-236104DiVA: diva2:763372
Available from: 2014-11-14 Created: 2014-11-12 Last updated: 2017-12-05Bibliographically approved

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Mazorchuk, Volodymyr

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