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.
DOI
https://doi.org/10.31274/etd-180810-207
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
