Wall and Chamber Structure for finite-dimensional Algebras

Thomas Brüstle; David Smith; Hipolito Treffinger

doi:10.1016/j.aim.2019.106746

Wall and Chamber Structure for finite-dimensional Algebras

Representation Theory 2019-08-15 v2 Algebraic Geometry Rings and Algebras

Authors: 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.

Keywords

finite-dimensional algebras algebraic geometry associative algebras

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@article{arxiv.1805.01880,
  title  = {Wall and Chamber Structure for finite-dimensional Algebras},
  author = {Thomas Brüstle and David Smith and Hipolito Treffinger},
  journal= {arXiv preprint arXiv:1805.01880},
  year   = {2019}
}

Comments

We added Subsection 3.5 and corrected typos. This paper is a revised version of one part of a preprint arXiv:1705.08227

Wall and Chamber Structure for finite-dimensional Algebras

Abstract

Keywords

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