Degree Type
Dissertation
Date of Award
2010
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Siu-hung Ng
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.
Copyright Owner
Michael John Hilgemann
Copyright Date
2010
Language
en
Date Available
2012-04-30
File Format
application/pdf
File Size
121 pages
Recommended Citation
Hilgemann, Michael John, "On finite-dimensional Hopf algebras and their classifications" (2010). Graduate Theses and Dissertations. 11549.
https://lib.dr.iastate.edu/etd/11549
