281 citations · 527 across the 34 of their papers we have counts for
5 papers · 1 filter
An introduction to higher cluster categories
Aslak Bakke Buan
In this survey we discuss some combinatorial aspects of higher cluster categories.
From triangulated categories to module categories via localisation
Aslak Bakke Buan, Bethany Marsh
We show that the category of finite-dimensional modules over the endomorphism algebra of a rigid object in a Hom-finite triangulated category is equivalent to the Gabriel-Zisman lo…
The algebras derived equivalent to gentle cluster tilted algebras
Grzegorz Bobinski, Aslak Bakke Buan
A cluster tilted algebra is known to be gentle if and only if it is cluster tilted of Dynkin type $\bbA$ or Euclidean type $\tilde{\bbA}$. We classify all finite dimensional algebr…
From m-clusters to m-noncrossing partitions via exceptional sequences
Aslak Bakke Buan, Idun Reiten, Hugh Thomas
Let W be a finite crystallographic reflection group. The generalized Catalan number of W coincides both with the number of clusters in the cluster algebra associated to W, and with…
Three kinds of mutation
Aslak Bakke Buan, Idun Reiten, Hugh Thomas
For a finite dimensional hereditary algebra, we consider: exceptional sequences in the category of finite dimensional modules, silting objects in the bounded derived category, and…