Associated with each finite directed quiver Q is a quasi-hereditary algebra, the so-called
twisted double of the path algebra kQ. Characteristic tilting modules over this class of quasi …

Let be a component of the Auslander-Reiten quiver of an Artin algebra containing projective
and injective modules. Assume that the length of any path from an injective in to a projective …

We study finitary 2-categories associated to dual projection functors for finite dimensional
associative algebras. In the case of path algebras of admissible tree quivers (which includes …

The class of support-tilting modules was introduced recently by Adachi et al. These modules
complete the class of tilting modules from the point of view of mutations. Given a finite …

The perpendicular category of a partial tilting module is studied, in particular that of a regular
module over a hereditary algebra preferably of wild representation type. The results are …

We classify generalized tilting modules and full exceptional sequences for the family of
quasi-hereditary quotients of type A zig-zag algebras and for a related family of algebras …

We consider the algebras Λ which satisfy the property that for each indecomposable module
X, either its projective dimension pd Λ X is at most one or its injective dimension id Λ X is at …

One of the seminal results of modern representation theory of algebras is Gabriel's theorem
saying that a quiver algebra A= kQ accepts only finitely many isoclasses of indecomposable …

We derive a cancellation theorem for degenerations of modules that says in particular, that
projective or injective common direct summands can always be neglected. Combining the …

This book is an introduction to the representation theory of quivers and finite dimensional
algebras. It gives a thorough and modern treatment of the algebraic approach based on …