On finite-dimensional Hopf algebras and their classifications
Date
2010-01-01
Authors
Hilgemann, Michael
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Siu-hung Ng
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Mathematics
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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