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.

Copyright Owner

Yi-lin Cheng

Language

en

Date Available

2012-04-30

File Format

application/pdf

File Size

67 pages

Included in

Mathematics Commons

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