Multipliers for the Lower Central Series of Strictly Upper Triangular Matrices
| dc.contributor.advisor | Tom J. Lada, Committee Member | en_US |
| dc.contributor.advisor | Kailash C. Misra, Committee Member | en_US |
| dc.contributor.advisor | Mohan S. Putcha, Committee Member | en_US |
| dc.contributor.advisor | Ernest L. Stitzinger, Committee Chair | en_US |
| dc.contributor.author | Levy, Louis Agnew | en_US |
| dc.date.accessioned | 2010-04-02T19:14:06Z | |
| dc.date.available | 2010-04-02T19:14:06Z | |
| dc.date.issued | 2009-02-18 | en_US |
| dc.degree.discipline | Mathematics | en_US |
| dc.degree.level | dissertation | en_US |
| dc.degree.name | PhD | en_US |
| dc.description.abstract | Lie algebra multipliers and their properties is a recent area of study. A multiplier is the Lie algebra analogue of the Schur multiplier from group theory. By definition a multiplier is central, so we only need to find its dimension in order to characterize it. We will investigate how to find the dimensions of the multipliers for the lower central series of strictly upper triangular matrices. The closed form result is a set of six polynomial answers in two variables: the size of the matrix and the position in the series. | en_US |
| dc.identifier.other | etd-11122008-190848 | en_US |
| dc.identifier.uri | http://www.lib.ncsu.edu/resolver/1840.16/5451 | |
| 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, dis sertation, 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 | nilpotent Lie algebra | en_US |
| dc.subject | Lie algebra multiplier | en_US |
| dc.subject | Schur multiplier | en_US |
| dc.subject | Multiplier | en_US |
| dc.title | Multipliers for the Lower Central Series of Strictly Upper Triangular Matrices | en_US |
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