On Semisimple Hopf Algebras of Dimension pq
r |
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| Authors: | Sonia Natale |
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| Institution: | (1) FaMAF, Universidad Nacional de Córdoba, Medina allende y Haya de la Torre, (5000) Ciudad Universitaria, Córdoba, Argentina;(2) Present address: Departement de Mathematiques et Applications, Ecole Normale Superieure, 45 rue d'Ulm, 75230 Paris Cedex 05, France |
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| Abstract: | 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. |
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| Keywords: | semisimple Hopf algebra biproduct cocycle twist |
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