Categorical action of the extended braid group of affine type A

Agnès Gadbled, Anne‐Laure Thiel, Emmanuel Wagner

Type: Article

Publication Date: 2016-05-13

Citations: 12

DOI: https://doi.org/10.1142/s0219199716500243

Abstract

Using a quiver algebra of a double cyclic quiver, we construct a faithful categorical action of the extended braid group of affine type [Formula: see text] 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.

Locations

arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
Communications in Contemporary Mathematics - View

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