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Categorical action of the extended braid group of affine type A
Univ Porto, Ctr Matemat, Dept Matemat, P-4169007 Oporto, Portugal..
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry. Univ Bourgogne Franche Comte, Inst Math Bourgogne, UMR 5584, F-21078 Dijon, France..ORCID iD: 0000-0003-1071-6101
Univ Bourgogne Franche Comte, Inst Math Bourgogne, UMR 5584, F-21078 Dijon, France..
2017 (English)In: Communications in Contemporary Mathematics, ISSN 0219-1997, Vol. 19, no 3, 1650024Article in journal (Refereed) Published
Abstract [en]

Using a quiver algebra of a double cyclic quiver, we construct a faithful categorical action of the extended braid group of affine type A on its bounded homotopy category of finitely generated projective modules. The algebra is trigraded and we identify the trigraded dimensions of the space of morphisms of this category with intersection numbers coming from the topological origin of the group.

Place, publisher, year, edition, pages
2017. Vol. 19, no 3, 1650024
Keyword [en]
Braid groups, categorical action, quiver, geometric intersection
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:uu:diva-322077DOI: 10.1142/S0219199716500243ISI: 000399087200005OAI: oai:DiVA.org:uu-322077DiVA: diva2:1096916
Available from: 2017-05-19 Created: 2017-05-19 Last updated: 2017-05-19Bibliographically approved

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Thiel, Anne-Laure
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