On The Wreath Product of Schur Functions
| dc.contributor.advisor | Ernie Stitzinger, Committee Co-Chair | en_US |
| dc.contributor.advisor | Tom J. Lada, Committee Member | en_US |
| dc.contributor.advisor | Naihuan Jing, Committee Co-Chair | en_US |
| dc.contributor.advisor | Kailash C. Misra, Committee Member | en_US |
| dc.contributor.author | Ingram, Frank III | en_US |
| dc.date.accessioned | 2010-04-02T18:36:27Z | |
| dc.date.available | 2010-04-02T18:36:27Z | |
| dc.date.issued | 2007-04-23 | en_US |
| dc.degree.discipline | Mathematics | en_US |
| dc.degree.level | dissertation | en_US |
| dc.degree.name | PhD | en_US |
| dc.description.abstract | The characters of the wreath product where first studied by Specht in. Stanley later proposed the question of certain properties of the wreath product of Schur fucntions with respect to the classical theory of symmetric functions. In this work a relationship is developed between a new power sum symmetric function and the classical power sum symmetric function. Properties for the Wreath Schur function are developed from relationships with the classical Schur function and its properties. Finally, a character table is developed that links the new power sum symmetric function with the Wreath Schur function. | en_US |
| dc.identifier.other | etd-03282006-174326 | en_US |
| dc.identifier.uri | http://www.lib.ncsu.edu/resolver/1840.16/3784 | |
| 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 | schur functions | en_US |
| dc.subject | symmetric functions | en_US |
| dc.subject | wreath product | en_US |
| dc.title | On The Wreath Product of Schur Functions | en_US |
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