Difference Raising Operators for Kirillov-Reshetikhin Characters and Parabolic Jing Operators

TR Number
Date
2017-06-16
Journal Title
Journal ISSN
Volume Title
Publisher
Virginia Tech
Abstract

In 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.

Description
Keywords
Symmetric Functions, Representation Theory, Plethysm
Citation
Collections