Finite quasi-quantum groups of diagonal type

Finite quasi-quantum groups of diagonal type

In this paper, we give a classification of finite-dimensional radically graded elementary quasi-Hopf algebras of diagonal type, or equivalently, finite-dimensional coradically graded pointed Majid algebras of diagonal type. By a Tannaka–Krein type duality, this determines a big class of pointed fini...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal für die reine und angewandte Mathematik 2020-02, Vol.2020 (759), p.201-243
Hauptverfasser: Huang, Hua-Lin, Liu, Gongxiang, Yang, Yuping, Ye, Yu
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we give a classification of finite-dimensional radically graded elementary quasi-Hopf algebras of diagonal type, or equivalently, finite-dimensional coradically graded pointed Majid algebras of diagonal type. By a Tannaka–Krein type duality, this determines a big class of pointed finite tensor categories. Some efficient methods of construction are also given.
ISSN:0075-4102
1435-5345
DOI:10.1515/crelle-2017-0058