Dissertation/Thesis Abstract

On finite-dimensional Hopf algebras and their classifications
by Hilgemann, Michael John, Ph.D., Iowa State University, 2010, 121; 3403886
Abstract (Summary)

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.

Indexing (document details)
Advisor: Ng, Siu-Hung
Commitee: Long, Ling, Smith, Jonathan, Song, Sung-yell, Willson, Stephen
School: Iowa State University
Department: Mathematics
School Location: United States -- Iowa
Source: DAI-B 71/06, Dissertation Abstracts International
Subjects: Mathematics
Keywords: Classification, Hopf algebras
Publication Number: 3403886
ISBN: 9781109778564
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