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On Semisimple Hopf Algebras of Dimension pq2

✍ Scribed by Sonia Natale

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
274 KB
Volume
221
Category
Article
ISSN
0021-8693

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✦ Synopsis

We show that if A is a semisimple Hopf algebra of dimension pq 2 over an algebraically closed field k of characteristic zero, then under certain restrictions either A or A * must have a non-trivial central group-like element. We then classify all semisimple Hopf algebras of dimension pq 2 over k which are not simple as Hopf algebras. We also determine all isomorphism classes of Hopf algebras of dimension pqr obtained as abelian extensions.

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