On Semisimple Hopf Algebras of Dimension pqr

被引:0
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作者
Sonia Natale
机构
[1] Universidad Nacional de Córdoba,FaMAF
[2] Medina allende y Haya de la Torre,Departement de Mathematiques et Applications
[3] Ecole Normale Superieure,undefined
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关键词
semisimple Hopf algebra; biproduct; cocycle twist;
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摘要
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 pqr. We conclude the classification of semisimple Hopf algebras A of dimension pq2 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 pq2<100.
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页码:173 / 188
页数:15
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