On derived equivalences of Nakayama algebras

2023/02/06 by Ueda, Taro
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2302.02880

Abstract

In this paper, we construct derived equivalences between certain Nakayama algebras by using the notion of an S-family which is a family of objects in a triangulated category satisfying some axioms.

Related

• Derived tame Nakayama algebras
• Derived equivalences between one-branch extensions of "rectangles"
• Continuous Nakayama Representations
• A new characterisation of quasi-hereditary Nakayama algebras and applications
• Derived equivalences from cohomological approximations, and mutations of Φ-Yoneda algebras