Unbounded ladders induced by Gorenstein algebras

Pu Zhang; Yuehui Zhang; Lin Zhu

Unbounded ladders induced by Gorenstein algebras

Representation Theory 2016-04-06 v2

Authors: Pu Zhang , Yuehui Zhang , Lin Zhu

Abstract

The derived category of a Gorenstein triangular matrix algebra $A$ admits an unbounded ladder, which is of period $3$ if $A = T_2(B)$ . Also, a left recollement of triangulated categories with Serre functors sits in a ladder of period $1$ ; as an application, the singularity category of $A$ admits a ladder of period $1$ .

Keywords

Gorenstein algebras triangular matrix algebra derived category unbounded ladder Serre functor recollement singularity category

Cite

@article{arxiv.1601.06558,
  title  = {Unbounded ladders induced by Gorenstein algebras},
  author = {Pu Zhang and Yuehui Zhang and Lin Zhu},
  journal= {arXiv preprint arXiv:1601.06558},
  year   = {2016}
}

Comments

This paper has been withdrawn by the authors due to an error in the proof of Lemma 2.5

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