2024-03-29T12:01:22Z
https://nagoya.repo.nii.ac.jp/oai
oai:nagoya.repo.nii.ac.jp:00008313
2023-01-16T03:53:46Z
697:698:699
Paths, tableaux and q-characters of quantum affine algebras: the Cn case
Nakai, Wakako
Nakanishi, Tomoki
open access
For 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 Physics
2006-03
eng
journal article
AM
http://hdl.handle.net/2237/10053
https://nagoya.repo.nii.ac.jp/records/8313
0305-4470
Journal of physics. A, Mathematical and theoretical
39
9
2083
2115
https://nagoya.repo.nii.ac.jp/record/8313/files/2.pdf
application/pdf
438.3 kB
2018-02-19