Mathematics – Quantum Algebra
Scientific paper
2000-04-17
Mathematics
Quantum Algebra
31 pages
Scientific paper
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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