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Simple transitive 2-representations for some 2-subcategories of Soergel bimodules
Inst Super Tecn, Dept Matemat, Ctr Math Anal Geometry & Dynam Syst, P-1049001 Lisbon, Portugal.;Univ Algarve, FCT, Dept Matemat, Campus Gambelas, P-8005139 Faro, Portugal..
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
2017 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 221, no 3, 565-587 p.Article in journal (Refereed) Published
Abstract [en]

We classify simple transitive 2-representations of certain 2-subcategories of the 2-category of Soergel bimodules over the coinvariant algebra in Coxeter types B-2 and I-2(5). In the I-2(5) case it turns out that simple transitive 2-representations are exhausted by cell 2-representations. In the B-2 case we show that, apart from cell 2-representations, there is a unique, up to equivalence, additional simple transitive 2-representation and we give an explicit construction of this 2-representation.

Place, publisher, year, edition, pages
2017. Vol. 221, no 3, 565-587 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-309778DOI: 10.1016/j.jpaa.2016.07.006ISI: 000387191700002OAI: oai:DiVA.org:uu-309778DiVA: diva2:1056723
Funder
Swedish Research Council
Available from: 2016-12-15 Created: 2016-12-07 Last updated: 2016-12-15Bibliographically approved

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Mazorchuk, Volodymyr
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