Algorithms for Computations in Local Symmetric Spaces
| 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 |
| dc.contributor.author | Fowler, Jennifer Renee | en_US |
| dc.date.accessioned | 2010-04-02T18:55:31Z | |
| dc.date.available | 2010-04-02T18:55:31Z | |
| dc.date.issued | 2003-04-17 | en_US |
| dc.degree.discipline | Mathematics | en_US |
| dc.degree.level | dissertation | en_US |
| dc.degree.name | PhD | 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.identifier.other | etd-03252003-164850 | en_US |
| dc.identifier.uri | http://www.lib.ncsu.edu/resolver/1840.16/4525 | |
| 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 |
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