On silting theory for complete path algebras

Maximilian Kaipel; Daniel Labardini-Fragoso; Håvard Utne Terland

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arXiv · 2611.03890

On silting theory for complete path algebras

Maximilian Kaipel·Daniel Labardini-Fragoso·Håvard Utne Terland

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Abstract

Let $Q$ be a finite quiver and let $Λ$ be the complete path algebra of $Q$ with respect to the arrow ideal. We study the mutation of silting objects in the bounded homotopy category of projective $Λ$-modules and characterise in which cases the mutation theories of silting complexes and 2-term silting complexes of $Λ$ are determined by those of a finite dimensional quotient $Λ/I$. This characterisation is closely related to a characterisation of 2-term silting finite quotient algebras.

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BibTeX RIS

Maximilian Kaipel, Daniel Labardini-Fragoso, Håvard Utne Terland. 2026-11-02. On silting theory for complete path algebras. https://arxiv.org/abs/2611.03890

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