Quivers with relations of Harada algebras

TL;DR

This paper provides an explicit description of quivers with relations for block extensions of finite dimensional algebras, specifically focusing on Harada algebras, by leveraging their connection to quasi-Frobenius algebras.

Contribution

It introduces a method to explicitly determine quivers with relations for Harada algebras based on their associated quasi-Frobenius algebras.

Findings

Explicit descriptions of quivers with relations for block extensions.

Application to Harada algebras via quasi-Frobenius algebra connections.

Enhanced understanding of algebra structures through quiver representations.

Abstract

For a finite dimensional algebra $R$, we give an explicit description of quivers with relations of block extension of $R$. As an application, we describe quivers with relations of Harada algebras by using those of the corresponding quasi-Frobenius algebras.