Wall-and-chamber structures for finite-dimensional algebras and $\tau$-tilting theory

The wall-and-chamber structure is a geometric invariant that can be associated to any algebra. In this notes we give the definition of this object and we explain its relationship with torsion classes and $\tau$-tilting theory.

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Bibliographische Detailangaben
Hauptverfasser: Kaipel, Maximilian, Treffinger, Hipolito
Format: Artikel
Sprache:eng
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Zusammenfassung:The wall-and-chamber structure is a geometric invariant that can be associated to any algebra. In this notes we give the definition of this object and we explain its relationship with torsion classes and $\tau$-tilting theory.
DOI:10.48550/arxiv.2302.12699