From Nilpotent groups to Nilpotent Hopf algebras and beyond

Seminar
Speaker
Prof. Miriam Cohen (Ben-Gurion University)
Date
21/05/2014 - 10:30Add to Calendar 2014-05-21 10:30:00 2014-05-21 10:30:00 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). אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Abstract

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).

Last Updated Date : 30/04/2014