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dc.contributor.advisorTam, Tin-Yauen_US
dc.contributor.authorSarver, Zacharyen_US
dc.date.accessioned2016-05-05T16:17:41Z
dc.date.available2016-05-05T16:17:41Z
dc.date.issued2016-05-05
dc.identifier.urihttp://hdl.handle.net/10415/5144
dc.description.abstractWe extend a monotonicity result of Wang and Gong on the product of powers of positive definite matrices. This result concerns the eigenvalues of such products which written as vectors have a log majorization relationship. Our extension is in the context of semisimple Lie groups which relies on the complete multiplicative Jordan decomposition and which we express with Kostant’s preorder. An analogous result on singular values is also obtained.en_US
dc.subjectMathematics and Statisticsen_US
dc.titleExtensions of Monotonicity Results to Semisimple Lie Groupsen_US
dc.typeDissertationen_US
dc.embargo.statusNOT_EMBARGOEDen_US
dc.contributor.committeeOeding, Lukeen_US
dc.contributor.committeeHolmes, Randallen_US
dc.contributor.committeeSmith, Michelen_US


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