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arXiv · 1805.01880

Wall and Chamber Structure for finite-dimensional Algebras

Thomas Brüstle·David Smith·Hipolito Treffinger
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Abstract

We use $\tau$-tilting theory to give a description of the wall and chamber structure of a finite dimensional algebra. We also study $\mathfrak{D}$-generic paths in the wall and chamber structure of an algebra $A$ and show that every maximal green sequence in mod $A$ is induced by a $\mathfrak{D}$-generic path.

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BibTeXRIS

Thomas Brüstle, David Smith, Hipolito Treffinger. 2018-05-04. Wall and Chamber Structure for finite-dimensional Algebras. https://doi.org/10.1016/j.aim.2019.106746

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