Special multiserial algebras, Brauer configuration algebras and more : a survey

TL;DR

This survey reviews recent developments in multiserial, special multiserial, and Brauer configuration algebras, highlighting structural properties, new algebra classes like almost gentle algebras, and the structure of radical cubed zero symmetric algebras.

Contribution

It provides a comprehensive overview of structural results and introduces new classes of algebras within the field of algebra representation theory.

Findings

Structural property of modules over special multiserial algebras

Introduction and description of almost gentle algebras

Analysis of radical cubed zero symmetric algebras

Abstract

We survey results on multiserial algebras, special multiserial algebras and Brauer configuration algebras. A structural property of modules over a special multiserial algebra is presented. Almost gentle algebras are introduced and we describe some results related to this class of algebras. We also report on the structure of radical cubed zero symmetric algebras.