Transfer of derived equivalences from subalgebras to endomorphism algebras II

2023/09/19 by Pan, Shengyong, Yu, Jiahui
#16G10 #16S10 #18E30 #18G15 #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2309.10585

Abstract

We investigate derived equivalences between subalgebras of some Φ-Auslander-Yoneda algebras from a class of n-angles in weakly n-angulated categories. The derived equivalences are obtained by transferring subalgebras induced by n-angles to endomorphism algebras induced by approximation sequences. Then we extend our constructions \citeBP to n-angle cases. Finally, we give an explicit example to illustrate our result.

Related

• Derived equivalences in n-angulated categories
• Derived equivalences from cohomological approximations, and mutations of Φ-Yoneda algebras
• Derived equivalences between subrings
• Derived equivalences for Φ-Auslander-Yoneda algebras
• Derived equivalence classification for cluster-tilted algebras of type A_n