Wall and chamber structure for finite-dimensional algebras

By Thomas Brustle, David Andrew Smith, H. Treffinger. Advances in Mathematics, 2018

108 citations recorded by the source corpus.

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

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/82d536015b59d421d230a37b8dc3bb6ad5fa79a9

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In Algebra and Number Theory

1. C. Pfeifer
2. Sotaro Asai

In Geometry and Topology

1. C. Pfeifer
2. Sotaro Asai

In Statistical and Nonlinear Physics

1. C. Pfeifer
2. Sotaro Asai

Citations in the corpus

• Wide Subcategories and Lattices of Torsion Classes (2019, methodology): “We refer to [3, 10, 27] for more information on numerical torsion classes.”