3 papers
math.RT2007
On tilting modules over cluster-tilted algebras
David Smith
In this paper, we show that the tilting modules over a cluster-tilted algebra lift to tilting objects in the associated cluster category . As a first application…
math.RA2007
Skew group algebras of piecewise hereditary algebras are piecewise hereditary
Julie Dionne, Marcelo Lanzilotta, David Smith
We show that the main results of Happel-Rickard-Schofield (1988) and Happel-Reiten-Smalo (1996) on piecewise hereditary algebras are coherent with the notion of group action on an…
math.RA2007
Almost laura algebras
David Smith
In this paper, we propose a generalization for the class of laura algebras, which we call almost laura. We show that this new class of algebras retains most of the essential featur…