The purpose of this article is threefold: The first is to provide an overview of old and recent
findings which relate finite dimensional tilting modules over a finite dimensional algebra Λ to …

First a duality theory is developed for arbitrary finite-dimensional algebras Λ and Λ′. It
provides a characterization of the contravariant equivalences which link resolving …

For any truncated path algebra Λ, we give a structural description of the modules in the
categories P^< ∞ (Λ-\rm mod) and P^< ∞ (Λ-\rm mod), consisting of the finitely generated …

Abstract Let P<∞(Λ-mod) be the category of finitely generated left modules of finite
projective dimension over a basic Artin algebra Λ. We develop a widely applicable criterion …

Throughout, unless specified otherwise, Q denotes a finite and connected quiver, k is a field
and all algebras are considered to be basic, connected, associative and finite dimensional …

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 …

For any truncated path algebra Λ of a quiver, we classify, by way of representation-theoretic
invariants, the irreducible components of the parametrizing varieties Rep d (Λ) of the Λ …

The theory for tilting and cotilting modules has its roots in the representation theory of finite
dimensional algebras (artin algebras) generalizing Morita equivalence and duality. First …

Let k be a field and A a finite dimensional k-category which is a hereditary length category.
We are going to show that the support algebra of any object of A without self-extension is a …

It is shown that, given any finite dimensional, split basic algebra λ= KΓ I (where Γ is a quiver
and I an admissible ideal in the path algebra KΓ), there is a finite list of affine algebraic …