Tilted algebras, that is endomorphism algebras of tilting modules over a hereditary algebra, have been one of the main objects of study in representation theory of algebras since their introduction by Happel and Ringel [10]. As a generalization, Happel, Reiten and Smalø studied endomorphism algebras of tilting objects of a hereditary abelian category which they call quasi-tilted algebras [9]. T...

The purpose of this paper is to study the local structure semi-invariant picture a tame hereditary algebra near null root. Using construction that we call co-amalgamation, show completely described by pictures collection self-injective Nakayama algebras. We then describe cones using cluster-like structures support regular clusters. Finally, (piecewise linearly) invariant under cluster tilting.

We complete the derived equivalence classification of all symmetric algebras of polynomial growth, by solving the subtle problem of distinguishing the standard and nonstandard nondomestic symmetric algebras of polynomial growth up to derived equivalence. Introduction and the main result Throughout the article, K will denote a fixed algebraically closed field. By an algebra is meant an associati...