Toupie algebra, some examples of laura algebras

TL;DR

This paper classifies certain bound quiver algebras related to canonical algebras, identifying which are hereditary, tilted, quasitilted, weakly shod, or laura, thus expanding understanding of their structural properties.

Contribution

It provides a classification of bound quiver algebras with canonical quivers into various algebra types, highlighting their structural distinctions.

Findings

Identifies which bound quiver algebras are hereditary

Determines conditions for algebras to be tilted or quasitilted

Classifies algebras as weakly shod or laura

Abstract

We consider the bound quiver algebras whose ordinary quiver is that of a canonical algebra. We determine which of those algebras are hereditary, tilted, quasitilted, weakly shod or laura algebras.