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

Language

en

Date Available

2012-04-30

File Format

application/pdf

File Size

121 pages

Included in

Mathematics Commons

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