On finite-dimensional Hopf algebras and their classifications

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dc.contributor.advisor Siu-hung Ng
dc.contributor.author Hilgemann, Michael
dc.contributor.department Mathematics
dc.date 2018-08-11T18:34:53.000
dc.date.accessioned 2020-06-30T02:36:28Z
dc.date.available 2020-06-30T02:36:28Z
dc.date.copyright Fri Jan 01 00:00:00 UTC 2010
dc.date.embargo 2013-06-05
dc.date.issued 2010-01-01
dc.description.abstract <p>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 2p<sup>2</sup> 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</p> <p>the classification of Hopf algebras of these dimensions.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/etd/11549/
dc.identifier.articleid 2559
dc.identifier.contextkey 2807757
dc.identifier.doi https://doi.org/10.31274/etd-180810-207
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath etd/11549
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/25755
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/etd/11549/Hilgemann_iastate_0097E_11044.pdf|||Fri Jan 14 18:52:47 UTC 2022
dc.subject.disciplines Mathematics
dc.title On finite-dimensional Hopf algebras and their classifications
dc.type dissertation
dc.type.genre dissertation
dspace.entity.type Publication
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
thesis.degree.level dissertation
thesis.degree.name Doctor of Philosophy
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