On finite-dimensional Hopf algebras and their classifications

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2010-01-01
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Hilgemann, Michael
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Siu-hung Ng
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Mathematics
Abstract

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.

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Fri Jan 01 00:00:00 UTC 2010