{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/78215"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/78215","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Difference Raising Operators for Kirillov-Reshetikhin Characters and Parabolic Jing Operators","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.","abstract_html":"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. 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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."]},{"key":"dc:description.abstractgeneral","label":"General Abstract","values":["In response to an open problem in Physics, an idea is presented by Di Francesco and Kedem in [1]. A connection between this idea and a Math idea presented by Shimozono and Zabrocki in [9] is presented. It is common that unknown overlap exists when authors from different fields work on similar problems. This connection is seen once the techniques used by Di Francesco and Kedem are interpreted in the language used by Shimozono and Zabrocki. 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