Quasi-hereditary covers of higher zigzag-algebras

Abstract

The aim of this paper is to define and study some quasi-hereditary covers for higher zigzag algebras. We will show how these algebras satisfy three different Koszul properties: they are Koszul in the classical sense, standard Koszul and Koszul with respect to the standard module $\Delta$, according with the definition given in \cite{Madsen1}. This last property gives rise to a well defined duality and the $\Delta$-Koszul dual will be computed as the path algebra of a quiver with relations.

25 pages

References in corpus (2)

• A-infinity structures on the algebra of extensions of Verma modules in the parabolic category O
• Higher zigzag algebras