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Journal of the London Mathematical Society Advance Access published online on June 19, 2009
Journal of the London Mathematical Society, doi:10.1112/jlms/jdp026
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© 2009 London Mathematical Society

Hopf algebras of dimension 2p2

Michael Hilgemann and Siu-Hung Ng

Department of Mathematics
Iowa State University
Ames, IA 50011
USA
hilgem1@iastate.edu

Let H be a non-semisimple Hopf algebra of dimension 2p2 over an algebraically closed field k of characteristic zero, where p is an odd prime. We prove that H or H* is pointed, which completes the classification for Hopf algebras of these dimensions.

Dedicated to Susan Montgomery on the occasion of her birthday

The research was partially supported by NSA grant no. H98230-05-1-0020.

2000 Mathematics Subject Classification 16W30.

Received September 16, 2008;
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