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On pointed Hopf
algebras over dihedral groups
Fernando Fantino and Gaston Andrés Garcia |
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Vol. 252 (2011), No. 1, 69–91
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Abstract |
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Let 𝔻m be the dihedral group of order 2m with m = 4t, t ≥ 3. Given an algebraically closed field of characteristic 0, we classify all finite-dimensional Nichols algebras over 𝔻m and all finite-dimensional pointed Hopf algebras whose group of group-likes is 𝔻m, by means of the lifting method. As a byproduct we obtain new examples of finite-dimensional pointed Hopf algebras. |
Keywords
pointed Hopf algebra, Nichols algebra, dihedral group
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Mathematical Subject Classification 2000
Primary: 16W30, 16T05, 17B37
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Milestones
Received: 5 July 2010
Accepted: 7 December 2010
Published: 8 October 2011
Proposed: Vyjayanthi Chari
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Authors |
| Fernando Fantino | |
| Universidad Nacional de
Córdoba Facultad de Matemática, Astronomía y Física - CIEM Medina Allende s/n Ciudad Universitaria 5000 Córdoba Argentina |
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| http://www.famaf.unc.edu.ar/~fantino/ | |
| Gaston Andrés Garcia | |
| Universidad Nacional de
Córdoba Facultad de Matemática, Astronomía y Física - CIEM Medina Allende s/n Ciudad Universitaria 5000 Córdoba Argentina |
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| http://www.famaf.unc.edu.ar/~ggarcia/ | |
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