Unbounded ladders induced by Gorenstein algebras

preprint2016arXivOpen access

Abstract

The derived category of a Gorenstein triangular matrix algebra AA admits an unbounded ladder, which is of period 33 if A=T2(B)A = T_2(B). Also, a left recollement of triangulated categories with Serre functors sits in a ladder of period 11; as an application, the singularity category of AA admits a ladder of period 11.

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