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Character generators and graphs for simple lie algebras

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dc.contributor.advisor Walton, Mark
dc.contributor.author Okeke, Nnamdi
dc.contributor.author University of Lethbridge. Faculty of Arts and Science
dc.date.accessioned 2007-11-29T16:30:54Z
dc.date.available 2007-11-29T16:30:54Z
dc.date.issued 2006
dc.identifier.uri http://hdl.handle.net/10133/532
dc.description vii, 92 leaves ; 29 cm. en
dc.description.abstract We study character generating functions (character generators) of simple Lie algebras. The expression due to Patera and Sharp, derived from the Weyl character formula, is ¯rst re- viewed. A new general formula is then found. It makes clear the distinct roles of \outside" and \inside" elements of the integrity basis, and helps determine their quadratic incompati- bilities. We review, analyze and extend the results obtained by Gaskell using the Demazure character formulas. We ¯nd that the fundamental generalized-poset graphs underlying the character generators can be deduced from such calculations. These graphs, introduced by Baclawski and Towber, can be simpli¯ed for the purposes of constructing the character generator. The generating functions can be written easily using the simpli¯ed versions, and associated Demazure expressions. The rank-two algebras are treated in detail, but we believe our results are indicative of those for general simple Lie algebras. en
dc.language.iso en_US en
dc.publisher Lethbridge, Alta. : University of Lethbridge, Faculty of Arts and Science, 2006 en
dc.relation.ispartofseries Thesis (University of Lethbridge. Faculty of Arts and Science) en
dc.subject Dissertations, Academic en
dc.subject Lie algebras -- Research en
dc.subject Lie groups -- Research en
dc.title Character generators and graphs for simple lie algebras en
dc.type Thesis en
dc.publisher.faculty Faculty of Arts and Science en
dc.publisher.department Department of Physics en
dc.degree.level Masters


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