Tame and Wild Symmetric Special Multiserial Algebras

TL;DR

This paper classifies all tame and wild symmetric special multiserial algebras based on their Brauer configurations, including those of finite representation type, providing a comprehensive understanding of their structure.

Contribution

It offers a complete classification of symmetric special multiserial algebras in terms of Brauer configurations, covering tame, wild, and finite representation types.

Findings

Classification of all tame and wild symmetric special multiserial algebras

Identification of finite representation type algebras within this class

Connection between Brauer configurations and algebra properties

Abstract

We provide a complete classification of all tame and wild symmetric special multiserial algebras in terms of the underlying Brauer configuration. Our classification contains the symmetric special multiserial algebras of finite representation type.