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Item Description Wills, Luis Alberto en_US 2009-09-09T19:49:02Z 2009-09-09T19:49:02Z 2008 en_US
dc.identifier en_US
dc.description Mode of access: World Wide Web. en_US
dc.description Thesis (Ph. D.)--University of Hawaii at Manoa, 2004. en_US
dc.description Includes bibliographical references (leaves 159-164). en_US
dc.description Electronic reproduction. en_US
dc.description Also available by subscription via World Wide Web en_US
dc.description x, 164 leaves, bound ill. 29 cm en_US
dc.description.abstract We introduce the Quotient Group Graded Lie algebras, which involve graded structure constants. This structure is then used to obtain a graded extension of supersymmetry where diverse features of the Standard Model of elementary particles arise naturally. For the Minimal Vector Clover Extension of the symmetries of special relativity, we develop the extended superspace formalism in differential geometric language. We construct connections, curvature, and prove Bianchi identities both in coordinate and in symmetry covariant bases. We study also a connection making the Lorentz symmetry point dependent, its torsion and curvature. Moreover, we examine a transformation that removes noncommutativity from the Minimal Vector Clover Extension. en_US
dc.format electronic resource en_US
dc.language.iso en-US en_US
dc.relation Theses for the degree of Doctor of Philosophy (University of Hawaii at Manoa). Mathematics; no. 4460 en_US
dc.rights All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner. en_US
dc.subject Lie algebras en_US
dc.subject Symmetry (Mathematics) en_US
dc.subject Transformations (Mathematics) en_US
dc.title Finite group graded lie algebraic extensions and trefoil symmetric relativity, standard model, yang mills and gravity theories en_US
dc.type Thesis en_US
dc.type.dcmi Text en_US

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