2021-08-01T02:19:13Zhttps://nagoya.repo.nii.ac.jp/oaioai:nagoya.repo.nii.ac.jp:000068892021-03-01T12:43:06ZPaths and tableaux descriptions of Jacobi-Trudi determinant associated with quantum affine algebra of type C_nNAKAI, Wakako18286NAKANISHI, Tomoki18287中西, 知樹18288quantum 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; 05E15journal articleResearchers of the Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine2007-07-18application/pdfSymmetry, Integrability and Geometry: Methods and Applications37878http://hdl.handle.net/2237/85571815-0659https://nagoya.repo.nii.ac.jp/record/6889/files/sigma07-078.pdfenghttp://www.emis.de/journals/SIGMA/2007/078/sigma07-078.pdfhttp://creativecommons.org/licenses/by-nc-sa/2.5/