23 citations · 30 across the 4 of their papers we have counts for
5 papers · 1 filter
A geometric realization of tame categories
Karin Baur, Hermund André Torkildsen
We give a geometric realization of module categories of type . We work with oriented arcs to define a translation quiver isomorphic to the Auslander-Reiten quiver of t…
A geometric realization of the -cluster category of type
Hermund André Torkildsen
We give a geometric realization of a subcategory of the -cluster category of type , by using -angulations of an annulus with ma…
Coloured quivers of type A and the cell-growth problem
Hermund André Torkildsen
We use a geometric description of -cluster categories of Dynkin type to count the the number of coloured quivers in the -mutation class of quivers of Dynkin type . Thi…
Finite mutation classes of coloured quivers
Hermund André Torkildsen
We consider the general notion of coloured quiver mutation and show that the mutation class of a coloured quiver , arising from an -cluster tilting object associated with …
Counting cluster-tilted algebras of type
Hermund André Torkildsen
The purpose of this paper is to give an explicit formula for the number of non-isomorphic cluster-tilted algebras of type , by counting the mutation class of any quiver with u…