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Mathematics > Representation Theory

arXiv:1805.01880 (math)
[Submitted on 4 May 2018 (v1), last revised 14 Aug 2019 (this version, v2)]

Title:Wall and Chamber Structure for finite-dimensional 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.
Comments: We added Subsection 3.5 and corrected typos. This paper is a revised version of one part of a preprint arXiv:1705.08227
Subjects: Representation Theory (math.RT); Algebraic Geometry (math.AG); Rings and Algebras (math.RA)
Cite as: arXiv:1805.01880 [math.RT]
  (or arXiv:1805.01880v2 [math.RT] for this version)
  https://doi.org/10.48550/arXiv.1805.01880
Journal reference: Advances in Mathematics, Volume 354, 1 October 2019, 106746
Related DOI: https://doi.org/10.1016/j.aim.2019.106746

Submission history

From: Hipolito Treffinger [view email]
[v1] Fri, 4 May 2018 17:51:51 UTC (23 KB)
[v2] Wed, 14 Aug 2019 16:44:56 UTC (26 KB)
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