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...
Guardado en:
| Autores principales: | , , |
|---|---|
| Publicado: |
2011
|
| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00218693_v325_n1_p305_Andruskiewitsch http://hdl.handle.net/20.500.12110/paper_00218693_v325_n1_p305_Andruskiewitsch |
| 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. |
|---|