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arxiv: math/0004114 · v1 · submitted 2000-04-17 · 🧮 math.QA · math.RA

Classification of semisimple Hopf algebras of dimension 16

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keywords algebrasdimensionhopfsemisimplenon-commutativecannotclassificationclassify
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In this paper we completely classify nontrivial semisimple Hopf algebras of dimension 16. We also compute all the possible structures of the Grothendieck ring of semisimple non-commutative Hopf algebras of dimension 16. Moreover, we prove that non-commutative semisimple Hopf algebras of dimension p^n, p is prime, cannot have a cyclic group of grouplikes.

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