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arXiv · 1601.06558

Unbounded ladders induced by Gorenstein algebras

Pu Zhang·Yuehui Zhang·Lin Zhu
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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 $1$.

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Pu Zhang, Yuehui Zhang, Lin Zhu. 2016-04-05. Unbounded ladders induced by Gorenstein algebras. https://arxiv.org/abs/1601.06558

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