We show that a certain orbit category considered by Keller encodes the combinatorics of the m-clusters of Fomin and Reading in a fashion similar to the way the cluster category of Buan, Marsh, Reineke, Reiten, and Todorov encodes the combinatorics of the clusters of Fomin and Zelevinsky. This allows us to give type-uniform proofs of certain results of Fomin and Reading in the simply laced cases
Let W be a finite crystallographic reflection group. The generalized Catalan number of W coincides b...
Dans cette thèse, nous décrivons une réalisation géométrique des carquois de type Dynkin, et certain...
AbstractThe Fomin–Zelevinsky Laurent phenomenon states that every cluster variable in a cluster alge...
AbstractWe show that a certain orbit category considered by Keller encodes the combinatorics of the ...
AbstractWe study the cluster combinatorics of d-cluster tilting objects in d-cluster categories. Usi...
AbstractLet A be a hereditary algebra over an algebraically closed field. We prove that an exact fun...
AbstractWe use the maximal faces of the m-cluster complex of type An introduced in Fomin and Reading...
We show that the m-cluster category of type Dn is equivalent to a certain geometrically-defined cate...
Using the polygonal models for the m-cluster complexes developed in [25] we classify maximal m-ortho...
We show that a subcategory of the m-cluster category of type D ̃n is isomorphic to a category consis...
AbstractLet H be a finite dimensional hereditary algebra over an algebraically closed field, and let...
AbstractTilting theory in cluster categories of hereditary algebras has been developed in [A. Buan, ...
This thesis is concerned with higher cluster tilting objects in generalized higher cluster categorie...
AbstractWe prove the existence of cluster characters for Hom-infinite cluster categories. For this p...
We show that the m-cluster category of type An−1 is equivalent to a certain geometrically defined ca...
Let W be a finite crystallographic reflection group. The generalized Catalan number of W coincides b...
Dans cette thèse, nous décrivons une réalisation géométrique des carquois de type Dynkin, et certain...
AbstractThe Fomin–Zelevinsky Laurent phenomenon states that every cluster variable in a cluster alge...
AbstractWe show that a certain orbit category considered by Keller encodes the combinatorics of the ...
AbstractWe study the cluster combinatorics of d-cluster tilting objects in d-cluster categories. Usi...
AbstractLet A be a hereditary algebra over an algebraically closed field. We prove that an exact fun...
AbstractWe use the maximal faces of the m-cluster complex of type An introduced in Fomin and Reading...
We show that the m-cluster category of type Dn is equivalent to a certain geometrically-defined cate...
Using the polygonal models for the m-cluster complexes developed in [25] we classify maximal m-ortho...
We show that a subcategory of the m-cluster category of type D ̃n is isomorphic to a category consis...
AbstractLet H be a finite dimensional hereditary algebra over an algebraically closed field, and let...
AbstractTilting theory in cluster categories of hereditary algebras has been developed in [A. Buan, ...
This thesis is concerned with higher cluster tilting objects in generalized higher cluster categorie...
AbstractWe prove the existence of cluster characters for Hom-infinite cluster categories. For this p...
We show that the m-cluster category of type An−1 is equivalent to a certain geometrically defined ca...
Let W be a finite crystallographic reflection group. The generalized Catalan number of W coincides b...
Dans cette thèse, nous décrivons une réalisation géométrique des carquois de type Dynkin, et certain...
AbstractThe Fomin–Zelevinsky Laurent phenomenon states that every cluster variable in a cluster alge...