Classifying pointed hopf algebras of dimension 16

Abstract

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.

^∗Research supported by by the“NFWO research network WO.U11.96N” and the project“Hopf algebras and co-Galois theory’supported by the Flemish and Romanian governments.

^∗Research supported by by the“NFWO research network WO.U11.96N” and the project“Hopf algebras and co-Galois theory’supported by the Flemish and Romanian governments.

Notes

^∗Research supported by by the“NFWO research network WO.U11.96N” and the project“Hopf algebras and co-Galois theory’supported by the Flemish and Romanian governments.