On The Wreath Product of Schur Functions

schur functions;symmetric functions;wreath product

Ingram, FrankIII ; Ernie Stitzinger, Committee Co-Chair,Tom J. Lada, Committee Member,Naihuan Jing, Committee Co-Chair,Kailash C. Misra, Committee Member,Ingram, FrankIII ; Ernie Stitzinger ; Committee Co-Chair ; Tom J. Lada ; Committee Member ; Naihuan Jing ; Committee Co-Chair ; Kailash C. Misra ; Committee Member

University:North Carolina State University

关键词: schur functions;    symmetric functions;    wreath product;   

Others  :  https://repository.lib.ncsu.edu/bitstream/handle/1840.16/3784/etd.pdf?sequence=1&isAllowed=y

美国|英语

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【 摘 要 】

The characters of the wreath product where first studied by Specht in.Stanley later proposed the questionof 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 relationshipswith 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.