The Fundamental Modules of the Classical Lie Algebras

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dc.contributor.advisor Szechtman, Fernando Krimker Fernandez, Gustavo Sergio 2012-08-31T16:48:23Z 2012-08-31T16:48:23Z 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.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
dc.description.authorstatus Student en
dc.description.peerreview yes en Master of Science (MSc) en_US Master's en Mathematics en_US University of Regina en Department of Mathematics and Statistics en_US
dc.contributor.committeemember Herman, Allen
dc.contributor.committeemember Volodin, Andrei
dc.contributor.committeemember Gilligan, Bruce
dc.contributor.externalexaminer Zhao, Kaiming
dc.identifier.tcnumber TC-SRU-3564

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