On Nichols algebras over SL(2,Fq) and GL(2,Fq)
arXiv:math/0703498 · doi:10.1063/1.2821614
Abstract
We compute necessary conditions on Yetter-Drinfeld modules over the groups SL(2,Fq) and GL(2,Fq) to generate finite dimensional Nichols algebras. This is a first step towards a classification of pointed Hopf algebras with a group of group-likes isomorphic to one of these groups.
Major exposition revision, including referees remarks. To appear in J. Math. Phys. 13 pages