Degree Type
Dissertation
Date of Award
2010
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Siu-hung Ng
Abstract
Some progress on classification problems for finite dimensional Hopf algebras has been made recently. In this thesis, we look at 4p-dimensional Hopf algebras over an algebraically closed field of characteristic zero. We show that a non-semisimple Hopf algebra of dimension 4p with an odd prime p is pointed if, and only if, this Hopf algebra contains more than two group-like elements. Moreover, we prove that non-semisimple Hopf algebras of dimensions 20, 28 and 44 are either pointed or dual-pointed, and this completes the classification of Hopf algebras of dimension 20, 28,and 44.
DOI
https://doi.org/10.31274/etd-180810-1849
Copyright Owner
Yi-lin Cheng
Copyright Date
2010
Language
en
Date Available
2012-04-30
File Format
application/pdf
File Size
67 pages
Recommended Citation
Cheng, Yi-lin, "On Hopf algebras of dimension 4p" (2010). Graduate Theses and Dissertations. 11307.
https://lib.dr.iastate.edu/etd/11307
