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arXiv · 2211.03303

Path description for $q$-characters of fundamental modules in type $C$

Il-Seung Jang
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Abstract

In this paper, we investigate the behavior of monomials in the $q$-characters of the fundamental modules over a quantum affine algebra of untwisted type C. As a result, we give simple closed formulae for the $q$-characters of the fundamental modules in terms of sequences of vertices in $\mathbb{R}^2$, so-called paths, with an admissible condition. This may be viewed as a type C analog of the path description of $q$-characters in types A and B due to Mukhin--Young.

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BibTeXRIS

Il-Seung Jang. 2022-11-07. Path description for $q$-characters of fundamental modules in type $C$. https://doi.org/10.1080/00927872.2023.2259475

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