Pointed Hopf algebras over the sporadic simple groups
We show that every finite-dimensional complex pointed Hopf algebra with group of group-likes isomorphic to a sporadic group is a group algebra, except for the Fischer group Fi22, the Baby Monster and the Monster. For these three groups, we give a short list of irreducible Yetter-Drinfeld modules who...
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| Autores principales: | , , , |
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| Formato: | Artículo publishedVersion |
| Publicado: |
2011
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00218693_v325_n1_p305_Andruskiewitsch https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00218693_v325_n1_p305_Andruskiewitsch_oai |
| Aporte de: |
| Sumario: | We show that every finite-dimensional complex pointed Hopf algebra with group of group-likes isomorphic to a sporadic group is a group algebra, except for the Fischer group Fi22, the Baby Monster and the Monster. For these three groups, we give a short list of irreducible Yetter-Drinfeld modules whose Nichols algebra is not known to be finite-dimensional. © 2010 Elsevier Inc. |
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