Matrix groups and Lie algebras: an algebraic treatment

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dc.contributorCorson, Jon M.
dc.contributorDixon, Martyn R.
dc.contributorFeminella, Matthew
dc.contributor.advisorEvans, Martin J.
dc.contributor.authorErvin, Tucker Jerome
dc.contributor.otherUniversity of Alabama Tuscaloosa
dc.date.accessioned2019-08-01T14:24:30Z
dc.date.available2019-08-01T14:24:30Z
dc.date.issued2019
dc.descriptionElectronic Thesis or Dissertationen_US
dc.description.abstractThere exist two correspondences between groups and Lie algebras. One occurs between matrix Lie groups and Lie algebras. The other concerns itself with complete groups of unitriangular matrices and Lie algebras. Titled the Lie and Mal'cev correspondences respectively, the purpose of this paper is to explore the two. We begin with an introduction to the basic properties of Lie algebras and other preliminary material followed by a construction of free Lie rings and algebras as well as by other interesting material discovered along the way. We then dive into the Lie correspondence, with which we contrast the Mal'cev correspondence in the section after.en_US
dc.format.extent61 p.
dc.format.mediumelectronic
dc.format.mimetypeapplication/pdf
dc.identifier.otheru0015_0000001_0003355
dc.identifier.otherErvin_alatus_0004M_13837
dc.identifier.urihttp://ir.ua.edu/handle/123456789/6168
dc.languageEnglish
dc.language.isoen_US
dc.publisherUniversity of Alabama Libraries
dc.relation.hasversionborn digital
dc.relation.ispartofThe University of Alabama Electronic Theses and Dissertations
dc.relation.ispartofThe University of Alabama Libraries Digital Collections
dc.rightsAll rights reserved by the author unless otherwise indicated.en_US
dc.subjectMathematics
dc.titleMatrix groups and Lie algebras: an algebraic treatmenten_US
dc.typethesis
dc.typetext
etdms.degree.departmentUniversity of Alabama. Department of Mathematics
etdms.degree.disciplineMathematics
etdms.degree.grantorThe University of Alabama
etdms.degree.levelmaster's
etdms.degree.nameM.A.

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