Classifying pointed hopf algebras of dimension 16

We classify pointed Hopf algebras of dimension 16 over an algebraically closed field of characteristic zero. Apart from the 11 group algebras, there are 29 such Hopf algebras. All of them can be obtained using the Ore extension construction, as described recently by Beattie, the second author, and G...

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Veröffentlicht in:Communications in algebra 2000-01, Vol.28 (2), p.541-568
Hauptverfasser: Caenepeel, S., Dǎscǎlescu, S., Raianu, Ŝ
Format: Artikel
Sprache:eng
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Zusammenfassung:We classify pointed Hopf algebras of dimension 16 over an algebraically closed field of characteristic zero. Apart from the 11 group algebras, there are 29 such Hopf algebras. All of them can be obtained using the Ore extension construction, as described recently by Beattie, the second author, and Grunenfelder.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927870008826843