On the Classification of Finite Quasi-Quantum Groups over Abelian Groups
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909131380621312 |
|---|---|
| author | Huang, Hua-Lin Liu, Gongxiang Yang, Yuping Ye, Yu |
| author_facet | Huang, Hua-Lin Liu, Gongxiang Yang, Yuping Ye, Yu |
| contents | Using a variety of methods developed in the theory of finite-dimensional quasi-Hopf algebras, we classify all finite-dimensional coradically graded pointed coquasi-Hopf algebras over abelian groups. As a consequence, we partially confirm the generation conjecture of pointed finite tensor categories due to Etingof, Gelaki, Nikshych and Ostrik. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_04455 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Classification of Finite Quasi-Quantum Groups over Abelian Groups Huang, Hua-Lin Liu, Gongxiang Yang, Yuping Ye, Yu Quantum Algebra Rings and Algebras Using a variety of methods developed in the theory of finite-dimensional quasi-Hopf algebras, we classify all finite-dimensional coradically graded pointed coquasi-Hopf algebras over abelian groups. As a consequence, we partially confirm the generation conjecture of pointed finite tensor categories due to Etingof, Gelaki, Nikshych and Ostrik. |
| title | On the Classification of Finite Quasi-Quantum Groups over Abelian Groups |
| topic | Quantum Algebra Rings and Algebras |
| url | https://arxiv.org/abs/2403.04455 |