Actions of Hopf-Ore Extensions of Group Algebras on Path Algebras of Quivers
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909370290274304 |
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| author | Askelsen, Elise Kinser, Ryan |
| author_facet | Askelsen, Elise Kinser, Ryan |
| contents | We classify the (filtered) Hopf actions of Hopf-Ore extensions of group algebras on path algebras of quivers, extending results in several other works from special cases to this general setting. Having done this for general Hopf-Ore extensions of group algebras, we demonstrate application by specializing our main result to certain Hopf-Ore extensions including some Noetherian prime Hopf algebras of GK-dimension one and two. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14880 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Actions of Hopf-Ore Extensions of Group Algebras on Path Algebras of Quivers Askelsen, Elise Kinser, Ryan Quantum Algebra Rings and Algebras Representation Theory 16T05 We classify the (filtered) Hopf actions of Hopf-Ore extensions of group algebras on path algebras of quivers, extending results in several other works from special cases to this general setting. Having done this for general Hopf-Ore extensions of group algebras, we demonstrate application by specializing our main result to certain Hopf-Ore extensions including some Noetherian prime Hopf algebras of GK-dimension one and two. |
| title | Actions of Hopf-Ore Extensions of Group Algebras on Path Algebras of Quivers |
| topic | Quantum Algebra Rings and Algebras Representation Theory 16T05 |
| url | https://arxiv.org/abs/2410.14880 |