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Classification of Semisimple Hopf Algebras of Dimension 16

✍ Scribed by Yevgenia Kashina

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
319 KB
Volume
232
Category
Article
ISSN
0021-8693

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✦ Synopsis

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-prime, cannot have a cyclic group of grouplikes.

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