The Fundamental Modules of the Classical Lie Algebras
dc.contributor.advisor | Szechtman, Fernando | |
dc.contributor.author | Krimker Fernandez, Gustavo Sergio | |
dc.contributor.committeemember | Herman, Allen | |
dc.contributor.committeemember | Volodin, Andrei | |
dc.contributor.committeemember | Gilligan, Bruce | |
dc.contributor.externalexaminer | Zhao, Kaiming | |
dc.date.accessioned | 2012-08-31T16:48:23Z | |
dc.date.available | 2012-08-31T16:48:23Z | |
dc.date.issued | 2012-02 | |
dc.description | A 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.abstract | The 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.authorstatus | Student | en |
dc.description.peerreview | yes | en |
dc.identifier.tcnumber | TC-SRU-3564 | |
dc.identifier.thesisurl | http://ourspace.uregina.ca/bitstream/handle/10294/3564/KrimkerFernandes_Gustavo_Sergio_200285461_MSC_Math_Fall_2012.pdf | |
dc.identifier.uri | https://hdl.handle.net/10294/3564 | |
dc.language.iso | en | en_US |
dc.publisher | Faculty of Graduate Studies and Research, University of Regina | en_US |
dc.subject.lcsh | Lie algebras | |
dc.subject.lcsh | Modules (Mathematics) | |
dc.title | The Fundamental Modules of the Classical Lie Algebras | en_US |
dc.type | Thesis | en |
thesis.degree.department | Department of Mathematics and Statistics | en_US |
thesis.degree.discipline | Mathematics | en_US |
thesis.degree.grantor | University of Regina | en |
thesis.degree.level | Master's | en |
thesis.degree.name | Master of Science (MSc) | en_US |
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