The Fundamental Modules of the Classical Lie Algebras

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dc.contributor.advisorSzechtman, Fernando
dc.contributor.authorKrimker Fernandez, Gustavo Sergio
dc.contributor.committeememberHerman, Allen
dc.contributor.committeememberVolodin, Andrei
dc.contributor.committeememberGilligan, Bruce
dc.contributor.externalexaminerZhao, Kaiming
dc.date.accessioned2012-08-31T16:48:23Z
dc.date.available2012-08-31T16:48:23Z
dc.date.issued2012-02
dc.descriptionA Thesis Submitted to the Faculty of Graduate Studies and Research In Partial Fulfillment of the Requirements for the Degree of Master of Science in Mathematics, University of Regina. vi, 78 p.en_US
dc.description.abstractThe main objective of this Thesis is the construction of the fundamental modules of the classical Lie algebras. Weyl’s Theorem shows that if L is a semisimple Lie algebra, then any finite dimensional L−module is a direct sum of irreducible L−modules. Since the classical algebras are semisimple, we just need the irreducible modules in order to obtain the others. On the other hand, the fundamental modules give us every irreducible L− module and, therefore, every finite dimensional L−module.en_US
dc.description.authorstatusStudenten
dc.description.peerreviewyesen
dc.identifier.tcnumberTC-SRU-3564
dc.identifier.thesisurlhttp://ourspace.uregina.ca/bitstream/handle/10294/3564/KrimkerFernandes_Gustavo_Sergio_200285461_MSC_Math_Fall_2012.pdf
dc.identifier.urihttps://hdl.handle.net/10294/3564
dc.language.isoenen_US
dc.publisherFaculty of Graduate Studies and Research, University of Reginaen_US
dc.subject.lcshLie algebras
dc.subject.lcshModules (Mathematics)
dc.titleThe Fundamental Modules of the Classical Lie Algebrasen_US
dc.typeThesisen
thesis.degree.departmentDepartment of Mathematics and Statisticsen_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorUniversity of Reginaen
thesis.degree.levelMaster'sen
thesis.degree.nameMaster of Science (MSc)en_US
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