On The Wreath Product of Schur Functions
No Thumbnail Available
Files
Date
2007-04-23
Authors
Journal Title
Series/Report No.
Journal ISSN
Volume Title
Publisher
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.
Description
Keywords
schur functions, symmetric functions, wreath product
Citation
Degree
PhD
Discipline
Mathematics