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 (unauthenticated)

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 mceclip1-825672e38aefc9fee75a14c370d60767.png which is neither pointed nor semisimple is introduced. It is shown that mceclip2-f551b9b977f16325d95c60942236eed7.png is quasi-triangular if and only if n is even and d = 2. The indecomposable modules of mceclip3-dd10ee45152c5b18ad511b24dd4707db.png are completely classified. Moreover, the decomposition formulas of tensor product of two mceclip4-317e28667be85c5c5b95395247ad9050.png-modules are established.

References

Downloads

Published

2025-09-12

Issue

Contemporary Mathematics, Volume 6 Issue 5 (2025), 5368-7533

Section

Research Article

Categories

License

Copyright (c) 2025 Shilin Yang, et al.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
On Non-Semisimple Non-Pointed Hopf Algebras. Contemp. Math. [Internet]. 2025 Sep. 12 [cited 2025 Dec. 24];6(5):6243-58. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/7132