Wall and chamber structure for finite-dimensional algebras

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.

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	Advances in mathematics (New York. 1965) 2019-10, Vol.354, p.106746, Article 106746
Hauptverfasser:	Brüstle, Thomas, Smith, David, Treffinger, Hipolito
Format:	Artikel
Sprache:	eng
Schlagworte:	g-vector fan Maximal green sequences Wall and chamber structure τ-tilting fan
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	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.
ISSN:	0001-8708 1090-2082
DOI:	10.1016/j.aim.2019.106746