On partial actions of Hopf-Ore extensions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914989175996416 |
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| author | Giraldi, João M. J. Martini, Grasiela Silva, Leonardo D. |
| author_facet | Giraldi, João M. J. Martini, Grasiela Silva, Leonardo D. |
| contents | In this work we study how to extend a partial action of a Hopf Algebra $A$ on an algebra $R$ to a partial action of a Hopf-Ore extension of $A$ on $R$. As consequence, we characterize all partial actions of rank one Hopf algebras (in particular, generalized Taft algebras and Radford algebras), under suitable conditions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19625 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On partial actions of Hopf-Ore extensions Giraldi, João M. J. Martini, Grasiela Silva, Leonardo D. Representation Theory Quantum Algebra Rings and Algebras Primary 16T05, Secondary 16T99 In this work we study how to extend a partial action of a Hopf Algebra $A$ on an algebra $R$ to a partial action of a Hopf-Ore extension of $A$ on $R$. As consequence, we characterize all partial actions of rank one Hopf algebras (in particular, generalized Taft algebras and Radford algebras), under suitable conditions. |
| title | On partial actions of Hopf-Ore extensions |
| topic | Representation Theory Quantum Algebra Rings and Algebras Primary 16T05, Secondary 16T99 |
| url | https://arxiv.org/abs/2410.19625 |