Representations of nodal algebras of type A

TL;DR

This paper introduces nodal finite dimensional algebras, describes their structure over algebraically closed fields, and provides a criterion for when type A nodal algebras are tame, contributing to the classification of these algebras.

Contribution

It defines nodal finite dimensional algebras, describes their structure, and establishes a criterion for tameness specifically for type A nodal algebras.

Findings

Defined nodal finite dimensional algebras.

Described the structure of these algebras over algebraically closed fields.

Provided a criterion for tameness of type A nodal algebras.

Abstract

We define nodal finite dimensional algebras and describe their structure over an algebraically closed field. For a special class of such algebras (type A) we find a criterion of tameness.