2022-11-30T13:35:57Zhttps://nagoya.repo.nii.ac.jp/oaioai:nagoya.repo.nii.ac.jp:000068892022-08-09T01:34:07ZPaths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type C_nNAKAI, WakakoNAKANISHI, Tomoki中西, 知樹open accesshttp://creativecommons.org/licenses/by-nc-sa/2.5/quantum groupq-characterlattice pathYoung tableauWe study the Jacobi–Trudi-type determinant which is conjectured to be the q-character of a certain, in many cases irreducible, finite-dimensional representation of the quantum affine algebra of type C_n. Like the D_n case studied by the authors recently, applying the Gessel–Viennot path method with an additional involution and a deformation of paths, we obtain an expression by a positive sum over a set of tuples of paths, which is naturally translated into the one over a set of tableaux on a skew diagram.2000 Mathematics Subject Classification: 17B37; 05E15Researchers of the Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine2007-07-18engjournal articleVoRhttp://hdl.handle.net/2237/8557https://nagoya.repo.nii.ac.jp/records/6889http://www.emis.de/journals/SIGMA/2007/078/sigma07-078.pdf1815-0659Symmetry, Integrability and Geometry: Methods and Applications37878https://nagoya.repo.nii.ac.jp/record/6889/files/sigma07-078.pdfapplication/pdf550.5 kB2018-02-19