AbstractWe compute the Grothendieck group of certain 2-Calabi–Yau triangulated categories appearing naturally in the study of the link between quiver representations and Fomin–Zelevinsky cluster algebras. In this setup, we also prove a generalization of the Fomin–Zelevinsky mutation rule
Quivers of finite mutation type are certain directed graphs that first arised in Fomin-Zelevinsky's ...
In the famous paper [FZ2] Fomin and Zelevinsky obtained Cartan-Killing type classification of all cl...
v3: Updated references. Section on Fu--Keller's cluster character. v4: Some expository changes as su...
AbstractWe compute the Grothendieck group of certain 2-Calabi–Yau triangulated categories appearing ...
Abstract. We prove that mutation of cluster-tilting objects in triangulated 2-Calabi-Yau categories ...
Abstract. We prove that mutation of cluster-tilting objects in triangulated 2-Calabi-Yau categories ...
AbstractWe show that Derksen–Weyman–Zelevinsky's mutations of quivers with potential yield equivalen...
We survey results on mutations of Jacobian algebras, while simultaneously extending them to the more...
This is the second part in a series of two lectures with Idun Reiten. We shall show that cluster til...
AbstractWe present a graded mutation rule for quivers of cluster-tilted algebras. Furthermore, we gi...
This is an introduction to some aspects of Fomin-Zelevinsky's cluster algebras and their links with ...
21 pages. The numberings now coincide with those of the published version.International audienceStar...
This is an introduction to some aspects of Fomin-Zelevinsky’s cluster algebras and their links with ...
AbstractWe derive a method for mutating quivers of 2-CY tilted algebras that have loops and 2-cycles...
We classify mutation-finite cluster algebras with arbitrary coefficients of geometric type.Comment: ...
Quivers of finite mutation type are certain directed graphs that first arised in Fomin-Zelevinsky's ...
In the famous paper [FZ2] Fomin and Zelevinsky obtained Cartan-Killing type classification of all cl...
v3: Updated references. Section on Fu--Keller's cluster character. v4: Some expository changes as su...
AbstractWe compute the Grothendieck group of certain 2-Calabi–Yau triangulated categories appearing ...
Abstract. We prove that mutation of cluster-tilting objects in triangulated 2-Calabi-Yau categories ...
Abstract. We prove that mutation of cluster-tilting objects in triangulated 2-Calabi-Yau categories ...
AbstractWe show that Derksen–Weyman–Zelevinsky's mutations of quivers with potential yield equivalen...
We survey results on mutations of Jacobian algebras, while simultaneously extending them to the more...
This is the second part in a series of two lectures with Idun Reiten. We shall show that cluster til...
AbstractWe present a graded mutation rule for quivers of cluster-tilted algebras. Furthermore, we gi...
This is an introduction to some aspects of Fomin-Zelevinsky's cluster algebras and their links with ...
21 pages. The numberings now coincide with those of the published version.International audienceStar...
This is an introduction to some aspects of Fomin-Zelevinsky’s cluster algebras and their links with ...
AbstractWe derive a method for mutating quivers of 2-CY tilted algebras that have loops and 2-cycles...
We classify mutation-finite cluster algebras with arbitrary coefficients of geometric type.Comment: ...
Quivers of finite mutation type are certain directed graphs that first arised in Fomin-Zelevinsky's ...
In the famous paper [FZ2] Fomin and Zelevinsky obtained Cartan-Killing type classification of all cl...
v3: Updated references. Section on Fu--Keller's cluster character. v4: Some expository changes as su...
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