In this thesis, we investigate the classification problem for finite-dimensional Hopf algebras. If p is an odd prime, we show that a non-semisimple Hopf algebra of dimension 2p2 over an algebraically closed field of characteristic zero must be pointed or isomorphic to the dual of a pointed Hopf algebra. Based on previously established classification results, this completes the classification of Hopf algebras of these dimensions.
|Commitee:||Long, Ling, Smith, Jonathan, Song, Sung-yell, Willson, Stephen|
|School:||Iowa State University|
|School Location:||United States -- Iowa|
|Source:||DAI-B 71/06, Dissertation Abstracts International|
|Keywords:||Classification, Hopf algebras|
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