On finite-dimensional copointed Hopf algebras over dihedral groups
We classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero such that its coradical is isomorphic to the algebra of functions k<sup>D<sub>m</sub></sup> over a dihedral group D<sub>m</sub>, with m = 4a ≥ 12. We obtain...
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| Autores principales: | , , |
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| Formato: | Articulo Preprint |
| Lenguaje: | Inglés |
| Publicado: |
2019
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/97732 https://ri.conicet.gov.ar/11336/83342 |
| Aporte de: |
| Sumario: | We classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero such that its coradical is isomorphic to the algebra of functions k<sup>D<sub>m</sub></sup> over a dihedral group D<sub>m</sub>, with m = 4a ≥ 12. We obtain this classification by means of the lifting method, where we use cohomology theory to determine all possible deformations. Our result provides an infinite family of new examples of finite-dimensional copointed Hopf algebras over dihedral groups. |
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