Coquasitriangular structures on Hopf algebras constructed via abelian extensions
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915646278729728 |
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| author | Yu, Jing Zhen, Xiangjun |
| author_facet | Yu, Jing Zhen, Xiangjun |
| contents | The aim of this paper is to study coquasitriangular structures on a class of cosemisimple Hopf algebras of the form $\Bbbk^G {}^τ\#_σ \Bbbk F$, constructed as abelian extensions of $\Bbbk F$ by $\Bbbk^G$ for a finite group $G$ and an arbitrary group $F$. We investigate when a coquasitriangular structure exists on $\Bbbk^G{}^τ\#_σ\Bbbk F$ and provide characterizations of its coquasitriangular structures. As an application, we study the coquasitriangular structures for the case where $G = \mathbb{Z}_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11254 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Coquasitriangular structures on Hopf algebras constructed via abelian extensions Yu, Jing Zhen, Xiangjun Quantum Algebra 16T05, 16T25 The aim of this paper is to study coquasitriangular structures on a class of cosemisimple Hopf algebras of the form $\Bbbk^G {}^τ\#_σ \Bbbk F$, constructed as abelian extensions of $\Bbbk F$ by $\Bbbk^G$ for a finite group $G$ and an arbitrary group $F$. We investigate when a coquasitriangular structure exists on $\Bbbk^G{}^τ\#_σ\Bbbk F$ and provide characterizations of its coquasitriangular structures. As an application, we study the coquasitriangular structures for the case where $G = \mathbb{Z}_2$. |
| title | Coquasitriangular structures on Hopf algebras constructed via abelian extensions |
| topic | Quantum Algebra 16T05, 16T25 |
| url | https://arxiv.org/abs/2511.11254 |