Derived equivalence classification of symmetric algebras of polynomial growth

TL;DR

This paper finalizes the classification of symmetric algebras with polynomial growth by distinguishing between standard and nonstandard nondomestic cases up to derived equivalence.

Contribution

It provides a complete derived equivalence classification of all symmetric algebras of polynomial growth, resolving a subtle distinction.

Findings

Complete classification of symmetric algebras of polynomial growth

Distinction between standard and nonstandard nondomestic cases

Resolved the derived equivalence problem for these algebras

Abstract

We complete the derived equivalence classification of all symmetric algebras of polynomial growth, by solving the subtle problem of distinguishing the standard and nonstandard nondomestic symmetric algebras of polynomial growth up to derived equivalence.