Date of Award
Doctor of Philosophy
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.
Michael John Hilgemann
Hilgemann, Michael John, "On finite-dimensional Hopf algebras and their classifications" (2010). Graduate Theses and Dissertations. 11549.