Simple Yetter-Drinfeld modules over Generalized Liu algebras
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915887896854528 |
|---|---|
| author | Zhen, Xiangjun Liu, Gongxiang Yu, Jing |
| author_facet | Zhen, Xiangjun Liu, Gongxiang Yu, Jing |
| contents | Let $H$ be a generalized Liu algebra over an algebraically closed field $k$ of characteristic zero. We prove that all simple Yetter-Drinfeld modules over $H$ are finite-dimensional and present an explicit classification of these modules. Moreover, we completely determine which of them admit a finite-dimensional Nichols algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23363 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Simple Yetter-Drinfeld modules over Generalized Liu algebras Zhen, Xiangjun Liu, Gongxiang Yu, Jing Quantum Algebra Representation Theory Let $H$ be a generalized Liu algebra over an algebraically closed field $k$ of characteristic zero. We prove that all simple Yetter-Drinfeld modules over $H$ are finite-dimensional and present an explicit classification of these modules. Moreover, we completely determine which of them admit a finite-dimensional Nichols algebra. |
| title | Simple Yetter-Drinfeld modules over Generalized Liu algebras |
| topic | Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2603.23363 |