Derived tame quadratic string algebras

Abstract

In this paper we determine the derived representation type of quadratic string algebras and we prove that every derived tame quadratic string algebra whose quiver has cycles is derived equivalent to some skewed-gentle algebra.

Keywords:

• Representations of algebras
• derived tame algebras
• quadratic string algebras

2020 Mathematics Subject Classification:

• Primary: 16G60
• Secondary: 16E35

Acknowledgments

The author would like to thank Viktor Bekkert for helpful discussions.