2021-11-27T02:09:11Zhttps://nagoya.repo.nii.ac.jp/oaioai:nagoya.repo.nii.ac.jp:000083132021-03-01T19:58:35ZPaths, tableaux and q-characters of quantum affine algebras: the Cn caseNakai, WakakoNakanishi, TomokiFor the quantum affine algebra Uq (ˆg) with g of classical type, let χλ/μ,a be the Jacobi–Trudi-type determinant for the generating series of the (supposed) q-characters of the fundamental representations. We conjecture that χλ/μ,a is the q-character of a certain finite-dimensional representation of Uq (ˆg). We study the tableaux description of χλ/μ,a using the path method due to Gessel– Viennot. It immediately reproduces the tableau rule by Bazhanov–Reshetikhin for An and by Kuniba–Ohta–Suzuki for Bn. For Cn, we derive the explicit tableau rule for skew diagrams λ/μ of three rows and of two columns.Institute of Physics2006-03engjournal articlehttp://hdl.handle.net/2237/10053https://nagoya.repo.nii.ac.jp/records/83130305-4470Journal of physics. A, Mathematical and theoretical39920832115https://nagoya.repo.nii.ac.jp/record/8313/files/2.pdfapplication/pdf438.3 kB2018-02-19