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This is a Quantitative Study study.

September 17, 2025Open Access

On Non-Semisimple Non-Pointed Hopf Algebras

Key Points

Quasi-triangularity occurs if n is even and d equals 2.
All indecomposable modules of the hopf algebra family are fully classified.
Decomposition formulas for the tensor product of two modules are established.
These findings expand the understanding of non-semisimple structures in hopf algebras.

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.

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Cite this study

Su et al. (Fri,) studied this question.

www.synapsesocial.com/papers/68d4604731b076d99fa5f946 — DOI: https://doi.org/10.37256/cm.6520257132

Authors

Dong Su

Zhenzhen Gao

Shilin Yang

Journals

Contemporary Mathematics

Actions

Institutions

Henan University of Science and Technology

Shandong Xiehe University

References and Citations

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Building similarity graph...

Analyzing shared references across papers

On Non-Semisimple Non-Pointed Hopf Algebras

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Cite this study

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion