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 |
dc.contributor.author |
Cicco, Tracey Martine Westbrook |
en_US |
dc.date.accessioned |
2010-04-02T19:01:46Z |
|
dc.date.available |
2010-04-02T19:01:46Z |
|
dc.date.issued |
2006-05-04 |
en_US |
dc.identifier.other |
etd-04242006-234136 |
en_US |
dc.identifier.uri |
http://www.lib.ncsu.edu/resolver/1840.16/4830 |
|
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 |
dc.degree.name |
PhD |
en_US |
dc.degree.level |
dissertation |
en_US |
dc.degree.discipline |
Mathematics |
en_US |