On the number of types of finite dimensional Hopf algebras
For an odd prime p we construct an infinite class of non-isomorphic Hopf algebras of dimension p ^sup 4^ over an infinite field containing primitive p-th roots of unity, answering in the negative a long standing conjecture of Kaplansky.[PUBLICATION ABSTRACT]
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| Veröffentlicht in: | Inventiones mathematicae 1999-04, Vol.136 (1), p.1-7 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | For an odd prime p we construct an infinite class of non-isomorphic Hopf algebras of dimension p ^sup 4^ over an infinite field containing primitive p-th roots of unity, answering in the negative a long standing conjecture of Kaplansky.[PUBLICATION ABSTRACT] |
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| ISSN: | 0020-9910 1432-1297 |
| DOI: | 10.1007/s002220050302 |