Abstract : 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.
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01549167
Contributeur : Imb - Université de Bourgogne
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Soumis le : mercredi 28 juin 2017 - 15:51:16
Dernière modification le : jeudi 11 janvier 2018 - 06:12:20
Agnès Gadbled, Anne-Laure Thiel, Emmanuel Wagner. Categorical action of the extended braid group of affine type $A$. Communications in Contemporary Mathematics, World Scientific Publishing, 2017, 19 (03), 〈10.1142/S0219199716500243〉. 〈hal-01549167〉
