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 , 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.
Acknowledgments
The author would like to thank Se-jin Oh for many stimulating and helpful discussions; to Sin-Myung Lee for his valuable comments. He also would like to thank sincerely the anonymous referee for helpful and detailed comments.