Classifying pointed Hopf algebras of dimension 16

Authors
Caenepeel, S Dascalescu, S Raianu, S
Citation
S. Caenepeel et al., Classifying pointed Hopf algebras of dimension 16, COMM ALGEB, 28(2), 2000, pp. 541-568
Citations number
22
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
28
Issue
2
Year of publication
2000
Pages
541 - 568
Database
ISI
SICI code
0092-7872(2000)28:2<541:CPHAOD>2.0.ZU;2-O
Abstract
We classify pointed Hopf algebras of dimension 16 over algebraically closed field of characteristic zero. Apart from the 14 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 Grun enfelder.