On Semisimple Hopf Algebras of Dimension pq r

by Natale, Sonia

Let p and q be distinct prime numbers. We prove a result on the existence of nontrivial group-like elements in a certain class of semisimple Hopf algebras of dimension pq

r
. We conclude the classification of semisimple Hopf algebras A of dimension pq
2 over an algebraically closed field k of characteristic zero, such that both A and A
* are of Frobenius type. We also complete the classification of semisimple Hopf algebras of dimension pq
2<100.

DOI: 10.1023/B:ALGE.0000026827.21137.fa
Print publication date: 5/1/2004
View article on SpringerLink

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