Simple Yetter-Drinfeld modules over Generalized Liu algebras
Quantum Algebra
2026-03-25 v1 Representation Theory
Abstract
Let be a generalized Liu algebra over an algebraically closed field of characteristic zero. We prove that all simple Yetter-Drinfeld modules over are finite-dimensional and present an explicit classification of these modules. Moreover, we completely determine which of them admit a finite-dimensional Nichols algebra.
Cite
@article{arxiv.2603.23363,
title = {Simple Yetter-Drinfeld modules over Generalized Liu algebras},
author = {Xiangjun Zhen and Gongxiang Liu and Jing Yu},
journal= {arXiv preprint arXiv:2603.23363},
year = {2026}
}