On Non-Semisimple Non-Pointed Hopf Algebras

Authors

Dong Su School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, Henan, 471023, P. R. China
Zhenzhen Gao School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang, Henan, 471023, P. R. China
Shilin Yang Department of General Education, Shandong Xiehe University, Jinan, Shandong, 250109, P. R. China https://orcid.org/0000-0002-2712-210X

DOI:

https://doi.org/10.37256/cm.6520257132

Keywords:

indecomposable module, non-pointed Hopf algebra, tensor product

Abstract

In this paper, a family of Hopf algebra which is neither pointed nor semisimple is introduced. It is shown that is quasi-triangular if and only if n is even and d = 2. The indecomposable modules of are completely classified. Moreover, the decomposition formulas of tensor product of two -modules are established.