Algorithms for Computing Restricted Root Systems and Weyl Groups

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dc.contributor.advisor Dr. Aloysius Helminck, Committee Chair en_US
dc.contributor.advisor Dr. Ernest Stitzinger, Committee Member en_US
dc.contributor.advisor Dr. Tom Lada, Committee Member en_US
dc.contributor.advisor Dr. Amassa Fauntleroy, Committee Member en_US Cicco, Tracey Martine Westbrook en_US 2010-04-02T19:01:46Z 2010-04-02T19:01:46Z 2006-05-04 en_US
dc.identifier.other etd-04242006-234136 en_US
dc.description.abstract While the computational packages LiE, Gap4, Chevie, and Magma are sufficient for work with Lie Groups and their corresponding Lie Algebras, no such packages exist for computing the k-structure of a group or the structure of symmetric spaces. My goal is to examine the k-structure of groups and the structure of symmetric spaces and arrive at various algorithms for computing in these spaces. en_US
dc.rights I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. en_US
dc.subject k-structure en_US
dc.subject symbolic computation en_US
dc.subject symmetric spaces en_US
dc.subject linear algebraic groups en_US
dc.title Algorithms for Computing Restricted Root Systems and Weyl Groups en_US PhD en_US dissertation en_US Mathematics en_US

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