Quasi-hereditary covers of higher zigzag-algebras

2018/02/28 by Gabriele Bocca, Bocca, Gabriele
Mathematics · #16G20 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1802.10587

openalex publication_date 2018/02/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Δ, according with the definition given in \citeMadsen1. This last property gives rise to a well defined duality and the Δ-Koszul dual will be computed as the path algebra of a quiver with relations.

Citations

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

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