On pointed Hopf algebras over dihedral groups
| Autor: | Fantino, F., Garcia, G. A. |
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| Rok vydání: | 2010 |
| Předmět: | |
| Zdroj: | Pacific J. Math, Vol. 252 (2011), no. 1, 69--91 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/pjm.2011.252.69 |
| Popis: | Let k be an algebraically closed field of characteristic 0 and let D_m be the dihedral group of order 2m with m= 4t, with t bigger than 2. We classify all finite-dimensional Nichols algebras over D_m and all finite-dimensional pointed Hopf algebras whose group of group-likes is D_m, by means of the lifting method. Our main result gives an infinite family of non-abelian groups where the classification of finite-dimensional pointed Hopf algebras is completed. Moreover, it provides for each dihedral group infinitely many non-trivial new examples. Comment: 23 pages, 1 figure and several tables |
| Databáze: | arXiv |
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