Let A=/cA be the path algebra of a finite, connected quiver A without oriented cycles. Here k
denotes an algebraically closed field. We denote the category of finite-dimensional A-left …

For a basic, hereditary, finite dimensional algebra Λ over an algebraically closed field k we
consider the quiver \mathcalK\!_Λ of tilting modules and the subquivers of \mathcalK\!_Λ …

Tilting modules play an important role in the representation theory of finite dimensional
algebras. Traditionally, one considers tilting modules of projective dimension at most one …

Tilting procedures are a well-known instrument in order to construct from a given finite
dimensional algebra A new algebras with related representation theory (compare [4],[7],[3]); …

Let k be an algebraically closed field and A be a finite-dimensional associative k-algebra
with an identity. We shall also assume that A is basic and connected. By an A-module we …

Degenerations for representations of tame quivers Page 1 ANNALES SCIENTIFIQUES DE L’É.NS
KLAUS BONGARTZ Degenerations for representations of tame quivers Annales …

Let $\Lambda= k\overrightarrow {\Delta} $ be the path algebra of a finite quiver without
oriented cycles. The set of isomorphism classes of multiplicity free tilting modules is in a …

Tilting and cotilting modules are classified for the completed path algebra of a quiver of type
A ̃ n with linear orientation. This classification problem arises naturally in the classification of …

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 …

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 …