Classification of semisimple Hopf algebras of dimension 16

Details Classification of semisimple Hopf algebras of dimension 16 Classification of semisimple Hopf algebras of dimension 16

2000-04-17

arxiv.org/abs/math/0004114v1

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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