Two-sided tilting complexes for generalized Brauer tree algebras

TL;DR

This paper constructs explicit two-sided tilting complexes for generalized Brauer tree algebras, extending the understanding of derived equivalences in algebraic structures.

Contribution

It provides explicit constructions of two-sided tilting complexes related to tree-to-star tilting complexes for generalized Brauer tree algebras.

Findings

Explicit two-sided tilting complexes constructed.

Connections established between tilting complexes and algebraic structures.

Enhances understanding of derived equivalences in algebra.

Abstract

We explicitly construct two-sided tilting complexes corresponding to Membrillo-Hern\'{a}ndez's tree-to-star tilting complexes for generalized Brauer tree algebras.