On The Wreath Product of Schur Functions

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Title: On The Wreath Product of Schur Functions
Author: Ingram, Frank III
Advisors: Ernie Stitzinger, Committee Co-Chair
Tom J. Lada, Committee Member
Naihuan Jing, Committee Co-Chair
Kailash C. Misra, Committee Member
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.
Date: 2007-04-23
Degree: PhD
Discipline: Mathematics
URI: http://www.lib.ncsu.edu/resolver/1840.16/3784

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