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

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.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

2017

Author dc:creator

• Hertz, Mark James

Chair dc:contributor.committeechair

• Orr, Daniel D.

Committee members dc:contributor.committeemember

• Shimozono, Mark M.
• Mihalcea, Constantin Leonardo

• Symmetric Functions
• Representation Theory
• Plethysm

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

vt_gsexam:11957

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/78215