Nichols algebras of group type with many quadratic relations
We classify Nichols algebras of irreducible Yetter-Drinfeld modules over nonabelian groups satisfying an inequality for the dimension of the homogeneous subspace of degree two. All such Nichols algebras are finite-dimensional, and all known finite-dimensional Nichols algebras of nonabelian group typ...
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| Autores principales: | , , |
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| Formato: | Artículo publishedVersion |
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2011
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00018708_v227_n5_p1956_Grana https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_00018708_v227_n5_p1956_Grana_oai |
| Aporte de: |
| Sumario: | We classify Nichols algebras of irreducible Yetter-Drinfeld modules over nonabelian groups satisfying an inequality for the dimension of the homogeneous subspace of degree two. All such Nichols algebras are finite-dimensional, and all known finite-dimensional Nichols algebras of nonabelian group type appear in the result of our classification. We find a new finite-dimensional Nichols algebra over fields of characteristic two. © 2011. |
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