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Simple transitive 2-representations of some 2-categories of projective functors
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
2018 (English)In: Beitr├Ąge zur Algebra und Geometrie, ISSN 0138-4821, Vol. 59, no 1, p. 41-50Article in journal (Refereed) Published
Abstract [en]

We show that every simple transitive 2-representation of the $2$-category of projective functors for a certain quotient of the quadratic dual of the preprojective algebra associated with a tree is equivalent to a cell 2-representation.

Place, publisher, year, edition, pages
Berlin/Heidelberg: Springer Berlin/Heidelberg, 2018. Vol. 59, no 1, p. 41-50
Keywords [en]
Representation theory, 2-category, Simple transitive 2-representation, Cell 2-representation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-354581DOI: 10.1007/s13366-017-0348-4ISI: 000431552200004OAI: oai:DiVA.org:uu-354581DiVA, id: diva2:1221839
Available from: 2018-06-20 Created: 2018-06-20 Last updated: 2018-07-04Bibliographically approved
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Zimmermann, Jakob

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