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Wall and Chamber Structure for finite-dimensional Algebras

2018/05/31 by Thomas Brüstle, David Smith, Hipolito Treffinger · 1 citation
Mathematics · #math.AG #math.RA #math.RT

paper · pdf · doi:10.1016/j.aim.2019.106746

published as Advances in Mathematics, Volume 354, 1 October 2019, 106746 · We added Subsection 3.5 and corrected typos. This paper is a revised version of one part of a preprint arXiv:1705.08227

arxiv created 2019/08/14 · arxiv updated 2019/08/15

Abstract

We use τ-tilting theory to give a description of the wall and chamber structure of a finite dimensional algebra. We also study \mathfrakD-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 \mathfrakD-generic path.

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