On Non-Semisimple Non-Pointed Hopf Algebras

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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Publication Details

Journal
Contemporary Mathematics
Published
2025-09-12
DOI
https://doi.org/10.37256/cm.6520257132
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00
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article

On Non-Semisimple Non-Pointed Hopf Algebras

Dong Su, Zhenzhen Gao, Shilin Yang
Contemporary Mathematics
Algebraic structures and combinatorial models
article

On Non-Semisimple Non-Pointed Hopf Algebras

Dong Su, Zhenzhen Gao, Shilin Yang
article en

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.

Contemporary Mathematics
Henan University of Science and Technology (CN), Shandong Xiehe University (CN)
Openalex Percentile: Top 69%
Algebraic structures and combinatorial models
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