Algorithms for Computations in Local Symmetric Spaces

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dc.contributor.advisor Jack W. Silverstein, Committee Member en_US
dc.contributor.advisor Aloysius G. Helminck, Committee Chair en_US
dc.contributor.advisor Amassa Fauntleroy, Committee Member en_US
dc.contributor.advisor Ernest L. Stitzinger, Committee Member en_US Fowler, Jennifer Renee en_US 2010-04-02T18:55:31Z 2010-04-02T18:55:31Z 2003-04-17 en_US
dc.identifier.other etd-03252003-164850 en_US
dc.description.abstract In this thesis, we use finite semisimple Lie theory to compute the structure of a local symmetric space p and its corresponding symmetric space P. Helminck classifies the local symmetric spaces over algebraically closed fields in [Hel88]. Here I extend these first results and write algorithms that implement combinatorial methods to compute `"nice" bases, restricted root systems, multiplicities and restricted Weyl groups for 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 Lie Groups en_US
dc.subject Lie Algebras en_US
dc.subject Local Symmetric Spaces en_US
dc.subject Symmetric Spaces en_US
dc.title Algorithms for Computations in Local Symmetric Spaces en_US PhD en_US dissertation en_US Mathematics en_US

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