Hertz, Mark James2017-06-172017-06-172017-06-16vt_gsexam:11957http://hdl.handle.net/10919/78215In this paper, we use the techniques of plethystic substitution to reformulate the difference raising operators presented by Di Francesco and Kedem. A connection between these operators and Shimozono and Zabrocki's parabolic Jing operators is presented. In particular, we find that these operators are a renormalization of a particular case of the parabolic Jing operators.ETDIn CopyrightSymmetric FunctionsRepresentation TheoryPlethysmThesis