Coxeter quiver representations in fusion categories and Gabriel's theorem

We introduce a notion of representation for a class of generalised quivers known as Coxeter quivers. These representations are built using fusion categories associated to \(U_q(\mathfrak{s}\mathfrak{l}_2)\) at roots of unity and we show that many of the classical results on representations of quiver...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2024-02
1. Verfasser:	Heng, Edmund
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Categories Crystallography Representations Theorems
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!