From Nilpotent groups to Nilpotent Hopf algebras and beyond
Generalizing the notion of nilpotency of groups to nilpotency of semisimple Hopf
algebras H we give several criteria for H to be nilpotent in terms
of various sequences of "commutators" and canonical matrices associated to H. We also initiate the study of probabilistical methods for Hopf algebras and prove that quasi-triangular H are
“probabilistically nilpotent” ( If G is a finite group then its group algebra kG is an example of such H).