@article{Zheng2024, 
author = {Yiwei Zheng},
title = {On the structure of irreducible Yetter-Drinfeld modules over  D},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {8},
pages = {21321-21336},
keywords = {Yetter-Drinfeld module, Hopf algebra},
url = {https://www.sciopen.com/article/10.3934/math.20241035},
doi = {10.3934/math.20241035},
abstract = {A class of algebras  D(m,d,ξ) introduced by [22] were not pointed and generated by the coradical of  D(m,d,ξ). Let  D be the quotient of  D(m,d,ξ) module the principle ideal  (gm−1). First, we describe all simple left modules of  D. Then, according to Radford's method, we construct the Yetter-Drinfeld module over  D by the tensor product of a simple module of  D and  D itself. Hence, we find some simple left Yetter-Drinfeld modules over  D, and the relevant braidings are of a triangular type.}
}