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Classification of semisimple Hopf algebras of dimension 16

Yevgenia Kashina
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Abstract

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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Yevgenia Kashina. 2000-04-17. Classification of semisimple Hopf algebras of dimension 16. https://arxiv.org/abs/math/0004114

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